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Finding the Fourth Proportional to 16,323.60, 24,470.58 and 5,928

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Solution

The fourth proportional to 16,323.60, 24,470.58 and 5,928 is: 8,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323.60 : 24,470.58 = 5,928 : x
  2. Step 2: Convert to fraction form
    16,323.60/24,470.58 = 5,928/x
  3. Step 3: Cross multiply
    16,323.60x = 24,470.58 × 5,928
  4. Step 4: Simplify right side
    16,323.60x = 145,061,598.24
  5. Step 5: Solve for x
    x = 145,061,598.24/16,323.60
  6. Step 6: Final answer
    x = 8,886.62

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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.