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Finding the Fourth Proportional to 19,740.25, 29,624.96 and 9,352

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Solution

The fourth proportional to 19,740.25, 29,624.96 and 9,352 is: 14,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,740.25 : 29,624.96 = 9,352 : x
  2. Step 2: Convert to fraction form
    19,740.25/29,624.96 = 9,352/x
  3. Step 3: Cross multiply
    19,740.25x = 29,624.96 × 9,352
  4. Step 4: Simplify right side
    19,740.25x = 277,052,625.92
  5. Step 5: Solve for x
    x = 277,052,625.92/19,740.25
  6. Step 6: Final answer
    x = 14,034.91

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Why These Related Problems?

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