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Finding the Fourth Proportional to 16,156.90, 24,235.92 and 4,471

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Solution

The fourth proportional to 16,156.90, 24,235.92 and 4,471 is: 6,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156.90 : 24,235.92 = 4,471 : x
  2. Step 2: Convert to fraction form
    16,156.90/24,235.92 = 4,471/x
  3. Step 3: Cross multiply
    16,156.90x = 24,235.92 × 4,471
  4. Step 4: Simplify right side
    16,156.90x = 108,358,798.32
  5. Step 5: Solve for x
    x = 108,358,798.32/16,156.90
  6. Step 6: Final answer
    x = 6,706.66

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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.