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Finding the Fourth Proportional to 16,533, 22,819.48 and 9,463.50

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Solution

The fourth proportional to 16,533, 22,819.48 and 9,463.50 is: 13,061.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533 : 22,819.48 = 9,463.50 : x
  2. Step 2: Convert to fraction form
    16,533/22,819.48 = 9,463.50/x
  3. Step 3: Cross multiply
    16,533x = 22,819.48 × 9,463.50
  4. Step 4: Simplify right side
    16,533x = 215,952,148.98
  5. Step 5: Solve for x
    x = 215,952,148.98/16,533
  6. Step 6: Final answer
    x = 13,061.89

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