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Finding the Fourth Proportional to 24,890.40, 34,345.98 and 14,817.42

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Solution

The fourth proportional to 24,890.40, 34,345.98 and 14,817.42 is: 20,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,890.40 : 34,345.98 = 14,817.42 : x
  2. Step 2: Convert to fraction form
    24,890.40/34,345.98 = 14,817.42/x
  3. Step 3: Cross multiply
    24,890.40x = 34,345.98 × 14,817.42
  4. Step 4: Simplify right side
    24,890.40x = 508,918,810.97
  5. Step 5: Solve for x
    x = 508,918,810.97/24,890.40
  6. Step 6: Final answer
    x = 20,446.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.