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Finding the Fourth Proportional to 13,188.76, 19,758.28 and 10,252.80

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Solution

The fourth proportional to 13,188.76, 19,758.28 and 10,252.80 is: 15,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.76 : 19,758.28 = 10,252.80 : x
  2. Step 2: Convert to fraction form
    13,188.76/19,758.28 = 10,252.80/x
  3. Step 3: Cross multiply
    13,188.76x = 19,758.28 × 10,252.80
  4. Step 4: Simplify right side
    13,188.76x = 202,577,693.18
  5. Step 5: Solve for x
    x = 202,577,693.18/13,188.76
  6. Step 6: Final answer
    x = 15,359.87

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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.