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Finding the Fourth Proportional to 16,407.66, 24,608.85 and 5,875.73

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Solution

The fourth proportional to 16,407.66, 24,608.85 and 5,875.73 is: 8,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.66 : 24,608.85 = 5,875.73 : x
  2. Step 2: Convert to fraction form
    16,407.66/24,608.85 = 5,875.73/x
  3. Step 3: Cross multiply
    16,407.66x = 24,608.85 × 5,875.73
  4. Step 4: Simplify right side
    16,407.66x = 144,594,835.17
  5. Step 5: Solve for x
    x = 144,594,835.17/16,407.66
  6. Step 6: Final answer
    x = 8,812.64

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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.