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Finding the Fourth Proportional to 14,101.28, 19,454.16 and 9,064.64

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Solution

The fourth proportional to 14,101.28, 19,454.16 and 9,064.64 is: 12,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.28 : 19,454.16 = 9,064.64 : x
  2. Step 2: Convert to fraction form
    14,101.28/19,454.16 = 9,064.64/x
  3. Step 3: Cross multiply
    14,101.28x = 19,454.16 × 9,064.64
  4. Step 4: Simplify right side
    14,101.28x = 176,344,956.90
  5. Step 5: Solve for x
    x = 176,344,956.90/14,101.28
  6. Step 6: Final answer
    x = 12,505.60

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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.