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Finding the Fourth Proportional to 24,534.65, 36,814.13 and 9,743.24

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Solution

The fourth proportional to 24,534.65, 36,814.13 and 9,743.24 is: 14,619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.65 : 36,814.13 = 9,743.24 : x
  2. Step 2: Convert to fraction form
    24,534.65/36,814.13 = 9,743.24/x
  3. Step 3: Cross multiply
    24,534.65x = 36,814.13 × 9,743.24
  4. Step 4: Simplify right side
    24,534.65x = 358,688,903.98
  5. Step 5: Solve for x
    x = 358,688,903.98/24,534.65
  6. Step 6: Final answer
    x = 14,619.69

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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.