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Finding the Fourth Proportional to 13,214.64, 18,230.22 and 10,565.76

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Solution

The fourth proportional to 13,214.64, 18,230.22 and 10,565.76 is: 14,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.64 : 18,230.22 = 10,565.76 : x
  2. Step 2: Convert to fraction form
    13,214.64/18,230.22 = 10,565.76/x
  3. Step 3: Cross multiply
    13,214.64x = 18,230.22 × 10,565.76
  4. Step 4: Simplify right side
    13,214.64x = 192,616,129.27
  5. Step 5: Solve for x
    x = 192,616,129.27/13,214.64
  6. Step 6: Final answer
    x = 14,575.96

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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.