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Finding the Fourth Proportional to 15,873.52, 23,793.54 and 6,509.38

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Solution

The fourth proportional to 15,873.52, 23,793.54 and 6,509.38 is: 9,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,873.52 : 23,793.54 = 6,509.38 : x
  2. Step 2: Convert to fraction form
    15,873.52/23,793.54 = 6,509.38/x
  3. Step 3: Cross multiply
    15,873.52x = 23,793.54 × 6,509.38
  4. Step 4: Simplify right side
    15,873.52x = 154,881,193.41
  5. Step 5: Solve for x
    x = 154,881,193.41/15,873.52
  6. Step 6: Final answer
    x = 9,757.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.