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Finding the Fourth Proportional to 15,737.18, 23,609.24 and 5,210.48

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Solution

The fourth proportional to 15,737.18, 23,609.24 and 5,210.48 is: 7,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.18 : 23,609.24 = 5,210.48 : x
  2. Step 2: Convert to fraction form
    15,737.18/23,609.24 = 5,210.48/x
  3. Step 3: Cross multiply
    15,737.18x = 23,609.24 × 5,210.48
  4. Step 4: Simplify right side
    15,737.18x = 123,015,328.74
  5. Step 5: Solve for x
    x = 123,015,328.74/15,737.18
  6. Step 6: Final answer
    x = 7,816.86

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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.