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Finding the Fourth Proportional to 19,708.62, 29,541.06 and 9,298.50

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Solution

The fourth proportional to 19,708.62, 29,541.06 and 9,298.50 is: 13,937.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.62 : 29,541.06 = 9,298.50 : x
  2. Step 2: Convert to fraction form
    19,708.62/29,541.06 = 9,298.50/x
  3. Step 3: Cross multiply
    19,708.62x = 29,541.06 × 9,298.50
  4. Step 4: Simplify right side
    19,708.62x = 274,687,546.41
  5. Step 5: Solve for x
    x = 274,687,546.41/19,708.62
  6. Step 6: Final answer
    x = 13,937.43

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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.