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Finding the Fourth Proportional to 25,894.68, 35,714.10 and 16,810.08

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Solution

The fourth proportional to 25,894.68, 35,714.10 and 16,810.08 is: 23,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.68 : 35,714.10 = 16,810.08 : x
  2. Step 2: Convert to fraction form
    25,894.68/35,714.10 = 16,810.08/x
  3. Step 3: Cross multiply
    25,894.68x = 35,714.10 × 16,810.08
  4. Step 4: Simplify right side
    25,894.68x = 600,356,878.13
  5. Step 5: Solve for x
    x = 600,356,878.13/25,894.68
  6. Step 6: Final answer
    x = 23,184.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.