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Finding the Fourth Proportional to 24,385.48, 33,655.30 and 14,037

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Solution

The fourth proportional to 24,385.48, 33,655.30 and 14,037 is: 19,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,385.48 : 33,655.30 = 14,037 : x
  2. Step 2: Convert to fraction form
    24,385.48/33,655.30 = 14,037/x
  3. Step 3: Cross multiply
    24,385.48x = 33,655.30 × 14,037
  4. Step 4: Simplify right side
    24,385.48x = 472,419,446.10
  5. Step 5: Solve for x
    x = 472,419,446.10/24,385.48
  6. Step 6: Final answer
    x = 19,372.98

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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.