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Finding the Fourth Proportional to 24,572.98, 36,837.65 and 9,576.63

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Solution

The fourth proportional to 24,572.98, 36,837.65 and 9,576.63 is: 14,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,572.98 : 36,837.65 = 9,576.63 : x
  2. Step 2: Convert to fraction form
    24,572.98/36,837.65 = 9,576.63/x
  3. Step 3: Cross multiply
    24,572.98x = 36,837.65 × 9,576.63
  4. Step 4: Simplify right side
    24,572.98x = 352,780,312.05
  5. Step 5: Solve for x
    x = 352,780,312.05/24,572.98
  6. Step 6: Final answer
    x = 14,356.43

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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.