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Finding the Fourth Proportional to 15,005.86, 20,707.85 and 8,291.36

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Solution

The fourth proportional to 15,005.86, 20,707.85 and 8,291.36 is: 11,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,005.86 : 20,707.85 = 8,291.36 : x
  2. Step 2: Convert to fraction form
    15,005.86/20,707.85 = 8,291.36/x
  3. Step 3: Cross multiply
    15,005.86x = 20,707.85 × 8,291.36
  4. Step 4: Simplify right side
    15,005.86x = 171,696,311.67
  5. Step 5: Solve for x
    x = 171,696,311.67/15,005.86
  6. Step 6: Final answer
    x = 11,441.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.