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Finding the Fourth Proportional to 24,650.42, 34,017.09 and 14,039.78

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Solution

The fourth proportional to 24,650.42, 34,017.09 and 14,039.78 is: 19,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650.42 : 34,017.09 = 14,039.78 : x
  2. Step 2: Convert to fraction form
    24,650.42/34,017.09 = 14,039.78/x
  3. Step 3: Cross multiply
    24,650.42x = 34,017.09 × 14,039.78
  4. Step 4: Simplify right side
    24,650.42x = 477,592,459.84
  5. Step 5: Solve for x
    x = 477,592,459.84/24,650.42
  6. Step 6: Final answer
    x = 19,374.62

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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.