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Finding the Fourth Proportional to 14,423.64, 21,591.62 and 9,233.16

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Solution

The fourth proportional to 14,423.64, 21,591.62 and 9,233.16 is: 13,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.64 : 21,591.62 = 9,233.16 : x
  2. Step 2: Convert to fraction form
    14,423.64/21,591.62 = 9,233.16/x
  3. Step 3: Cross multiply
    14,423.64x = 21,591.62 × 9,233.16
  4. Step 4: Simplify right side
    14,423.64x = 199,358,882.12
  5. Step 5: Solve for x
    x = 199,358,882.12/14,423.64
  6. Step 6: Final answer
    x = 13,821.68

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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.