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Finding the Fourth Proportional to 20,342.50, 30,510.15 and 9,246.58

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Solution

The fourth proportional to 20,342.50, 30,510.15 and 9,246.58 is: 13,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.50 : 30,510.15 = 9,246.58 : x
  2. Step 2: Convert to fraction form
    20,342.50/30,510.15 = 9,246.58/x
  3. Step 3: Cross multiply
    20,342.50x = 30,510.15 × 9,246.58
  4. Step 4: Simplify right side
    20,342.50x = 282,114,542.79
  5. Step 5: Solve for x
    x = 282,114,542.79/20,342.50
  6. Step 6: Final answer
    x = 13,868.23

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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.