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Finding the Fourth Proportional to 22,547.16, 31,098.24 and 19,997.88

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Solution

The fourth proportional to 22,547.16, 31,098.24 and 19,997.88 is: 27,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.16 : 31,098.24 = 19,997.88 : x
  2. Step 2: Convert to fraction form
    22,547.16/31,098.24 = 19,997.88/x
  3. Step 3: Cross multiply
    22,547.16x = 31,098.24 × 19,997.88
  4. Step 4: Simplify right side
    22,547.16x = 621,898,871.73
  5. Step 5: Solve for x
    x = 621,898,871.73/22,547.16
  6. Step 6: Final answer
    x = 27,582.14

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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.