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Finding the Fourth Proportional to 22,547.57, 31,115.94 and 14,053.13

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Solution

The fourth proportional to 22,547.57, 31,115.94 and 14,053.13 is: 19,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.57 : 31,115.94 = 14,053.13 : x
  2. Step 2: Convert to fraction form
    22,547.57/31,115.94 = 14,053.13/x
  3. Step 3: Cross multiply
    22,547.57x = 31,115.94 × 14,053.13
  4. Step 4: Simplify right side
    22,547.57x = 437,276,194.31
  5. Step 5: Solve for x
    x = 437,276,194.31/22,547.57
  6. Step 6: Final answer
    x = 19,393.50

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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.