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Finding the Fourth Proportional to 24,356.46, 36,534.69 and 9,561.42

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Solution

The fourth proportional to 24,356.46, 36,534.69 and 9,561.42 is: 14,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356.46 : 36,534.69 = 9,561.42 : x
  2. Step 2: Convert to fraction form
    24,356.46/36,534.69 = 9,561.42/x
  3. Step 3: Cross multiply
    24,356.46x = 36,534.69 × 9,561.42
  4. Step 4: Simplify right side
    24,356.46x = 349,323,515.66
  5. Step 5: Solve for x
    x = 349,323,515.66/24,356.46
  6. Step 6: Final answer
    x = 14,342.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.