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Finding the Fourth Proportional to 22,547.36, 31,115.14 and 13,476.88

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Solution

The fourth proportional to 22,547.36, 31,115.14 and 13,476.88 is: 18,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.36 : 31,115.14 = 13,476.88 : x
  2. Step 2: Convert to fraction form
    22,547.36/31,115.14 = 13,476.88/x
  3. Step 3: Cross multiply
    22,547.36x = 31,115.14 × 13,476.88
  4. Step 4: Simplify right side
    22,547.36x = 419,335,013.16
  5. Step 5: Solve for x
    x = 419,335,013.16/22,547.36
  6. Step 6: Final answer
    x = 18,597.96

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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.