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Finding the Fourth Proportional to 14,875.49, 22,306.56 and 10,698

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Solution

The fourth proportional to 14,875.49, 22,306.56 and 10,698 is: 16,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,875.49 : 22,306.56 = 10,698 : x
  2. Step 2: Convert to fraction form
    14,875.49/22,306.56 = 10,698/x
  3. Step 3: Cross multiply
    14,875.49x = 22,306.56 × 10,698
  4. Step 4: Simplify right side
    14,875.49x = 238,635,578.88
  5. Step 5: Solve for x
    x = 238,635,578.88/14,875.49
  6. Step 6: Final answer
    x = 16,042.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.