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Finding the Fourth Proportional to 22,658.04, 31,246.28 and 13,582

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Solution

The fourth proportional to 22,658.04, 31,246.28 and 13,582 is: 18,730.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.04 : 31,246.28 = 13,582 : x
  2. Step 2: Convert to fraction form
    22,658.04/31,246.28 = 13,582/x
  3. Step 3: Cross multiply
    22,658.04x = 31,246.28 × 13,582
  4. Step 4: Simplify right side
    22,658.04x = 424,386,974.96
  5. Step 5: Solve for x
    x = 424,386,974.96/22,658.04
  6. Step 6: Final answer
    x = 18,730.08

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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.