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Finding the Fourth Proportional to 16,260.65, 24,365.45 and 9,683.24

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Solution

The fourth proportional to 16,260.65, 24,365.45 and 9,683.24 is: 14,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,260.65 : 24,365.45 = 9,683.24 : x
  2. Step 2: Convert to fraction form
    16,260.65/24,365.45 = 9,683.24/x
  3. Step 3: Cross multiply
    16,260.65x = 24,365.45 × 9,683.24
  4. Step 4: Simplify right side
    16,260.65x = 235,936,500.06
  5. Step 5: Solve for x
    x = 235,936,500.06/16,260.65
  6. Step 6: Final answer
    x = 14,509.66

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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.