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Finding the Fourth Proportional to 13,710.20, 20,565.30 and 7,805.30

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Solution

The fourth proportional to 13,710.20, 20,565.30 and 7,805.30 is: 11,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.20 : 20,565.30 = 7,805.30 : x
  2. Step 2: Convert to fraction form
    13,710.20/20,565.30 = 7,805.30/x
  3. Step 3: Cross multiply
    13,710.20x = 20,565.30 × 7,805.30
  4. Step 4: Simplify right side
    13,710.20x = 160,518,336.09
  5. Step 5: Solve for x
    x = 160,518,336.09/13,710.20
  6. Step 6: Final answer
    x = 11,707.95

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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.