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Finding the Fourth Proportional to 13,705.30, 20,565.78 and 7,465.06

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Solution

The fourth proportional to 13,705.30, 20,565.78 and 7,465.06 is: 11,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.30 : 20,565.78 = 7,465.06 : x
  2. Step 2: Convert to fraction form
    13,705.30/20,565.78 = 7,465.06/x
  3. Step 3: Cross multiply
    13,705.30x = 20,565.78 × 7,465.06
  4. Step 4: Simplify right side
    13,705.30x = 153,524,781.65
  5. Step 5: Solve for x
    x = 153,524,781.65/13,705.30
  6. Step 6: Final answer
    x = 11,201.85

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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.