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Finding the Fourth Proportional to 22,785.71, 31,445.99 and 12,714.57

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Solution

The fourth proportional to 22,785.71, 31,445.99 and 12,714.57 is: 17,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,785.71 : 31,445.99 = 12,714.57 : x
  2. Step 2: Convert to fraction form
    22,785.71/31,445.99 = 12,714.57/x
  3. Step 3: Cross multiply
    22,785.71x = 31,445.99 × 12,714.57
  4. Step 4: Simplify right side
    22,785.71x = 399,822,225.18
  5. Step 5: Solve for x
    x = 399,822,225.18/22,785.71
  6. Step 6: Final answer
    x = 17,547.06

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