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Finding the Fourth Proportional to 13,670.68, 20,457.28 and 9,454.78

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Solution

The fourth proportional to 13,670.68, 20,457.28 and 9,454.78 is: 14,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.68 : 20,457.28 = 9,454.78 : x
  2. Step 2: Convert to fraction form
    13,670.68/20,457.28 = 9,454.78/x
  3. Step 3: Cross multiply
    13,670.68x = 20,457.28 × 9,454.78
  4. Step 4: Simplify right side
    13,670.68x = 193,419,088.24
  5. Step 5: Solve for x
    x = 193,419,088.24/13,670.68
  6. Step 6: Final answer
    x = 14,148.46

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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.