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Finding the Fourth Proportional to 14,594.32, 21,891.30 and 9,902.71

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Solution

The fourth proportional to 14,594.32, 21,891.30 and 9,902.71 is: 14,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.32 : 21,891.30 = 9,902.71 : x
  2. Step 2: Convert to fraction form
    14,594.32/21,891.30 = 9,902.71/x
  3. Step 3: Cross multiply
    14,594.32x = 21,891.30 × 9,902.71
  4. Step 4: Simplify right side
    14,594.32x = 216,783,195.42
  5. Step 5: Solve for x
    x = 216,783,195.42/14,594.32
  6. Step 6: Final answer
    x = 14,853.94

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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.