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Finding the Fourth Proportional to 14,861.61, 20,509.65 and 8,489.25

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Solution

The fourth proportional to 14,861.61, 20,509.65 and 8,489.25 is: 11,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861.61 : 20,509.65 = 8,489.25 : x
  2. Step 2: Convert to fraction form
    14,861.61/20,509.65 = 8,489.25/x
  3. Step 3: Cross multiply
    14,861.61x = 20,509.65 × 8,489.25
  4. Step 4: Simplify right side
    14,861.61x = 174,111,546.26
  5. Step 5: Solve for x
    x = 174,111,546.26/14,861.61
  6. Step 6: Final answer
    x = 11,715.52

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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.