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Finding the Fourth Proportional to 13,598.16, 20,377.52 and 9,657.14

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Solution

The fourth proportional to 13,598.16, 20,377.52 and 9,657.14 is: 14,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.16 : 20,377.52 = 9,657.14 : x
  2. Step 2: Convert to fraction form
    13,598.16/20,377.52 = 9,657.14/x
  3. Step 3: Cross multiply
    13,598.16x = 20,377.52 × 9,657.14
  4. Step 4: Simplify right side
    13,598.16x = 196,788,563.49
  5. Step 5: Solve for x
    x = 196,788,563.49/13,598.16
  6. Step 6: Final answer
    x = 14,471.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.