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Finding the Fourth Proportional to 22,547.40, 31,115.16 and 12,476.16

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Solution

The fourth proportional to 22,547.40, 31,115.16 and 12,476.16 is: 17,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.40 : 31,115.16 = 12,476.16 : x
  2. Step 2: Convert to fraction form
    22,547.40/31,115.16 = 12,476.16/x
  3. Step 3: Cross multiply
    22,547.40x = 31,115.16 × 12,476.16
  4. Step 4: Simplify right side
    22,547.40x = 388,197,714.59
  5. Step 5: Solve for x
    x = 388,197,714.59/22,547.40
  6. Step 6: Final answer
    x = 17,216.96

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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.