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Finding the Fourth Proportional to 19,774.55, 29,645.58 and 9,239.36

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Solution

The fourth proportional to 19,774.55, 29,645.58 and 9,239.36 is: 13,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.55 : 29,645.58 = 9,239.36 : x
  2. Step 2: Convert to fraction form
    19,774.55/29,645.58 = 9,239.36/x
  3. Step 3: Cross multiply
    19,774.55x = 29,645.58 × 9,239.36
  4. Step 4: Simplify right side
    19,774.55x = 273,906,139.83
  5. Step 5: Solve for x
    x = 273,906,139.83/19,774.55
  6. Step 6: Final answer
    x = 13,851.45

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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.