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Finding the Fourth Proportional to 22,547.28, 31,116.12 and 12,339

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Solution

The fourth proportional to 22,547.28, 31,116.12 and 12,339 is: 17,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.28 : 31,116.12 = 12,339 : x
  2. Step 2: Convert to fraction form
    22,547.28/31,116.12 = 12,339/x
  3. Step 3: Cross multiply
    22,547.28x = 31,116.12 × 12,339
  4. Step 4: Simplify right side
    22,547.28x = 383,941,804.68
  5. Step 5: Solve for x
    x = 383,941,804.68/22,547.28
  6. Step 6: Final answer
    x = 17,028.30

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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.