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Finding the Fourth Proportional to 17,440.60, 24,050.10 and 13,657

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Solution

The fourth proportional to 17,440.60, 24,050.10 and 13,657 is: 18,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,440.60 : 24,050.10 = 13,657 : x
  2. Step 2: Convert to fraction form
    17,440.60/24,050.10 = 13,657/x
  3. Step 3: Cross multiply
    17,440.60x = 24,050.10 × 13,657
  4. Step 4: Simplify right side
    17,440.60x = 328,452,215.70
  5. Step 5: Solve for x
    x = 328,452,215.70/17,440.60
  6. Step 6: Final answer
    x = 18,832.62

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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.