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Finding the Fourth Proportional to 24,543.64, 36,828.67 and 9,752.68

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Solution

The fourth proportional to 24,543.64, 36,828.67 and 9,752.68 is: 14,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543.64 : 36,828.67 = 9,752.68 : x
  2. Step 2: Convert to fraction form
    24,543.64/36,828.67 = 9,752.68/x
  3. Step 3: Cross multiply
    24,543.64x = 36,828.67 × 9,752.68
  4. Step 4: Simplify right side
    24,543.64x = 359,178,233.34
  5. Step 5: Solve for x
    x = 359,178,233.34/24,543.64
  6. Step 6: Final answer
    x = 14,634.27

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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.