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Finding the Fourth Proportional to 13,677.12, 20,510.28 and 6,280.20

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Solution

The fourth proportional to 13,677.12, 20,510.28 and 6,280.20 is: 9,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.12 : 20,510.28 = 6,280.20 : x
  2. Step 2: Convert to fraction form
    13,677.12/20,510.28 = 6,280.20/x
  3. Step 3: Cross multiply
    13,677.12x = 20,510.28 × 6,280.20
  4. Step 4: Simplify right side
    13,677.12x = 128,808,660.46
  5. Step 5: Solve for x
    x = 128,808,660.46/13,677.12
  6. Step 6: Final answer
    x = 9,417.82

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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.