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Finding the Fourth Proportional to 13,649.28, 20,478.76 and 7,810.80

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Solution

The fourth proportional to 13,649.28, 20,478.76 and 7,810.80 is: 11,718.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.28 : 20,478.76 = 7,810.80 : x
  2. Step 2: Convert to fraction form
    13,649.28/20,478.76 = 7,810.80/x
  3. Step 3: Cross multiply
    13,649.28x = 20,478.76 × 7,810.80
  4. Step 4: Simplify right side
    13,649.28x = 159,955,498.61
  5. Step 5: Solve for x
    x = 159,955,498.61/13,649.28
  6. Step 6: Final answer
    x = 11,718.97

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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.