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Finding the Fourth Proportional to 16,155.90, 24,234.42 and 4,470

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Solution

The fourth proportional to 16,155.90, 24,234.42 and 4,470 is: 6,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,155.90 : 24,234.42 = 4,470 : x
  2. Step 2: Convert to fraction form
    16,155.90/24,234.42 = 4,470/x
  3. Step 3: Cross multiply
    16,155.90x = 24,234.42 × 4,470
  4. Step 4: Simplify right side
    16,155.90x = 108,327,857.40
  5. Step 5: Solve for x
    x = 108,327,857.40/16,155.90
  6. Step 6: Final answer
    x = 6,705.16

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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.