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Finding the Fourth Proportional to 24,773.74, 34,178.03 and 14,157.68

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Solution

The fourth proportional to 24,773.74, 34,178.03 and 14,157.68 is: 19,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,773.74 : 34,178.03 = 14,157.68 : x
  2. Step 2: Convert to fraction form
    24,773.74/34,178.03 = 14,157.68/x
  3. Step 3: Cross multiply
    24,773.74x = 34,178.03 × 14,157.68
  4. Step 4: Simplify right side
    24,773.74x = 483,881,647.16
  5. Step 5: Solve for x
    x = 483,881,647.16/24,773.74
  6. Step 6: Final answer
    x = 19,532.04

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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.