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Finding the Fourth Proportional to 19,765.12, 29,659.36 and 7,293.86

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Solution

The fourth proportional to 19,765.12, 29,659.36 and 7,293.86 is: 10,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.12 : 29,659.36 = 7,293.86 : x
  2. Step 2: Convert to fraction form
    19,765.12/29,659.36 = 7,293.86/x
  3. Step 3: Cross multiply
    19,765.12x = 29,659.36 × 7,293.86
  4. Step 4: Simplify right side
    19,765.12x = 216,331,219.53
  5. Step 5: Solve for x
    x = 216,331,219.53/19,765.12
  6. Step 6: Final answer
    x = 10,945.10

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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.