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Finding the Fourth Proportional to 19,662.01, 29,454 and 9,281.05

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Solution

The fourth proportional to 19,662.01, 29,454 and 9,281.05 is: 13,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,662.01 : 29,454 = 9,281.05 : x
  2. Step 2: Convert to fraction form
    19,662.01/29,454 = 9,281.05/x
  3. Step 3: Cross multiply
    19,662.01x = 29,454 × 9,281.05
  4. Step 4: Simplify right side
    19,662.01x = 273,364,046.70
  5. Step 5: Solve for x
    x = 273,364,046.70/19,662.01
  6. Step 6: Final answer
    x = 13,903.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.