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Finding the Fourth Proportional to 13,132.50, 19,702.02 and 3,898.50

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Solution

The fourth proportional to 13,132.50, 19,702.02 and 3,898.50 is: 5,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.50 : 19,702.02 = 3,898.50 : x
  2. Step 2: Convert to fraction form
    13,132.50/19,702.02 = 3,898.50/x
  3. Step 3: Cross multiply
    13,132.50x = 19,702.02 × 3,898.50
  4. Step 4: Simplify right side
    13,132.50x = 76,808,324.97
  5. Step 5: Solve for x
    x = 76,808,324.97/13,132.50
  6. Step 6: Final answer
    x = 5,848.72

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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.