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Finding the Fourth Proportional to 14,856.76, 20,504.10 and 8,569

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Solution

The fourth proportional to 14,856.76, 20,504.10 and 8,569 is: 11,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856.76 : 20,504.10 = 8,569 : x
  2. Step 2: Convert to fraction form
    14,856.76/20,504.10 = 8,569/x
  3. Step 3: Cross multiply
    14,856.76x = 20,504.10 × 8,569
  4. Step 4: Simplify right side
    14,856.76x = 175,699,632.90
  5. Step 5: Solve for x
    x = 175,699,632.90/14,856.76
  6. Step 6: Final answer
    x = 11,826.24

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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.