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Finding the Fourth Proportional to 24,923.46, 37,384.92 and 14,409.30

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Solution

The fourth proportional to 24,923.46, 37,384.92 and 14,409.30 is: 21,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,923.46 : 37,384.92 = 14,409.30 : x
  2. Step 2: Convert to fraction form
    24,923.46/37,384.92 = 14,409.30/x
  3. Step 3: Cross multiply
    24,923.46x = 37,384.92 × 14,409.30
  4. Step 4: Simplify right side
    24,923.46x = 538,690,527.76
  5. Step 5: Solve for x
    x = 538,690,527.76/24,923.46
  6. Step 6: Final answer
    x = 21,613.79

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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.