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Finding the Fourth Proportional to 19,854.48, 29,775.12 and 9,321.20

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Solution

The fourth proportional to 19,854.48, 29,775.12 and 9,321.20 is: 13,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.48 : 29,775.12 = 9,321.20 : x
  2. Step 2: Convert to fraction form
    19,854.48/29,775.12 = 9,321.20/x
  3. Step 3: Cross multiply
    19,854.48x = 29,775.12 × 9,321.20
  4. Step 4: Simplify right side
    19,854.48x = 277,539,848.54
  5. Step 5: Solve for x
    x = 277,539,848.54/19,854.48
  6. Step 6: Final answer
    x = 13,978.70

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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.