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Finding the Fourth Proportional to 14,565.16, 20,098.02 and 8,277.40

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Solution

The fourth proportional to 14,565.16, 20,098.02 and 8,277.40 is: 11,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.16 : 20,098.02 = 8,277.40 : x
  2. Step 2: Convert to fraction form
    14,565.16/20,098.02 = 8,277.40/x
  3. Step 3: Cross multiply
    14,565.16x = 20,098.02 × 8,277.40
  4. Step 4: Simplify right side
    14,565.16x = 166,359,350.75
  5. Step 5: Solve for x
    x = 166,359,350.75/14,565.16
  6. Step 6: Final answer
    x = 11,421.73

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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.