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Finding the Fourth Proportional to 22,547.52, 31,115.10 and 12,338.51

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Solution

The fourth proportional to 22,547.52, 31,115.10 and 12,338.51 is: 17,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.52 : 31,115.10 = 12,338.51 : x
  2. Step 2: Convert to fraction form
    22,547.52/31,115.10 = 12,338.51/x
  3. Step 3: Cross multiply
    22,547.52x = 31,115.10 × 12,338.51
  4. Step 4: Simplify right side
    22,547.52x = 383,913,986.42
  5. Step 5: Solve for x
    x = 383,913,986.42/22,547.52
  6. Step 6: Final answer
    x = 17,026.88

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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.