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Finding the Fourth Proportional to 24,463.50, 33,759.63 and 14,527.50

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Solution

The fourth proportional to 24,463.50, 33,759.63 and 14,527.50 is: 20,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,463.50 : 33,759.63 = 14,527.50 : x
  2. Step 2: Convert to fraction form
    24,463.50/33,759.63 = 14,527.50/x
  3. Step 3: Cross multiply
    24,463.50x = 33,759.63 × 14,527.50
  4. Step 4: Simplify right side
    24,463.50x = 490,443,024.83
  5. Step 5: Solve for x
    x = 490,443,024.83/24,463.50
  6. Step 6: Final answer
    x = 20,047.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.