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Finding the Fourth Proportional to 19,773.14, 29,656.28 and 9,244.10

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Solution

The fourth proportional to 19,773.14, 29,656.28 and 9,244.10 is: 13,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.14 : 29,656.28 = 9,244.10 : x
  2. Step 2: Convert to fraction form
    19,773.14/29,656.28 = 9,244.10/x
  3. Step 3: Cross multiply
    19,773.14x = 29,656.28 × 9,244.10
  4. Step 4: Simplify right side
    19,773.14x = 274,145,715.20
  5. Step 5: Solve for x
    x = 274,145,715.20/19,773.14
  6. Step 6: Final answer
    x = 13,864.55

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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.