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Finding the Fourth Proportional to 24,387.46, 36,572 and 9,588.28

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Solution

The fourth proportional to 24,387.46, 36,572 and 9,588.28 is: 14,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387.46 : 36,572 = 9,588.28 : x
  2. Step 2: Convert to fraction form
    24,387.46/36,572 = 9,588.28/x
  3. Step 3: Cross multiply
    24,387.46x = 36,572 × 9,588.28
  4. Step 4: Simplify right side
    24,387.46x = 350,662,576.16
  5. Step 5: Solve for x
    x = 350,662,576.16/24,387.46
  6. Step 6: Final answer
    x = 14,378.81

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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.