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Finding the Fourth Proportional to 14,854.48, 22,266.72 and 9,311.71

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Solution

The fourth proportional to 14,854.48, 22,266.72 and 9,311.71 is: 13,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.48 : 22,266.72 = 9,311.71 : x
  2. Step 2: Convert to fraction form
    14,854.48/22,266.72 = 9,311.71/x
  3. Step 3: Cross multiply
    14,854.48x = 22,266.72 × 9,311.71
  4. Step 4: Simplify right side
    14,854.48x = 207,341,314.19
  5. Step 5: Solve for x
    x = 207,341,314.19/14,854.48
  6. Step 6: Final answer
    x = 13,958.16

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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.