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Finding the Fourth Proportional to 19,442, 29,187.50 and 16,538.76

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Solution

The fourth proportional to 19,442, 29,187.50 and 16,538.76 is: 24,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,442 : 29,187.50 = 16,538.76 : x
  2. Step 2: Convert to fraction form
    19,442/29,187.50 = 16,538.76/x
  3. Step 3: Cross multiply
    19,442x = 29,187.50 × 16,538.76
  4. Step 4: Simplify right side
    19,442x = 482,725,057.50
  5. Step 5: Solve for x
    x = 482,725,057.50/19,442
  6. Step 6: Final answer
    x = 24,828.98

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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.