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Finding the Fourth Proportional to 24,652.23, 34,020.86 and 14,041.64

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Solution

The fourth proportional to 24,652.23, 34,020.86 and 14,041.64 is: 19,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.23 : 34,020.86 = 14,041.64 : x
  2. Step 2: Convert to fraction form
    24,652.23/34,020.86 = 14,041.64/x
  3. Step 3: Cross multiply
    24,652.23x = 34,020.86 × 14,041.64
  4. Step 4: Simplify right side
    24,652.23x = 477,708,428.30
  5. Step 5: Solve for x
    x = 477,708,428.30/24,652.23
  6. Step 6: Final answer
    x = 19,377.90

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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.