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Finding the Fourth Proportional to 25,894.84, 35,714.63 and 16,823.13

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Solution

The fourth proportional to 25,894.84, 35,714.63 and 16,823.13 is: 23,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.84 : 35,714.63 = 16,823.13 : x
  2. Step 2: Convert to fraction form
    25,894.84/35,714.63 = 16,823.13/x
  3. Step 3: Cross multiply
    25,894.84x = 35,714.63 × 16,823.13
  4. Step 4: Simplify right side
    25,894.84x = 600,831,726.88
  5. Step 5: Solve for x
    x = 600,831,726.88/25,894.84
  6. Step 6: Final answer
    x = 23,202.76

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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.