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Finding the Fourth Proportional to 21,534.70, 32,267.94 and 16,616.38

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Solution

The fourth proportional to 21,534.70, 32,267.94 and 16,616.38 is: 24,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534.70 : 32,267.94 = 16,616.38 : x
  2. Step 2: Convert to fraction form
    21,534.70/32,267.94 = 16,616.38/x
  3. Step 3: Cross multiply
    21,534.70x = 32,267.94 × 16,616.38
  4. Step 4: Simplify right side
    21,534.70x = 536,176,352.86
  5. Step 5: Solve for x
    x = 536,176,352.86/21,534.70
  6. Step 6: Final answer
    x = 24,898.25

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