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Finding the Fourth Proportional to 15,894.09, 23,841.14 and 8,476.08

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Solution

The fourth proportional to 15,894.09, 23,841.14 and 8,476.08 is: 12,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.09 : 23,841.14 = 8,476.08 : x
  2. Step 2: Convert to fraction form
    15,894.09/23,841.14 = 8,476.08/x
  3. Step 3: Cross multiply
    15,894.09x = 23,841.14 × 8,476.08
  4. Step 4: Simplify right side
    15,894.09x = 202,079,278.15
  5. Step 5: Solve for x
    x = 202,079,278.15/15,894.09
  6. Step 6: Final answer
    x = 12,714.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.