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Finding the Fourth Proportional to 13,510.65, 20,252.12 and 5,188.43

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Solution

The fourth proportional to 13,510.65, 20,252.12 and 5,188.43 is: 7,777.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.65 : 20,252.12 = 5,188.43 : x
  2. Step 2: Convert to fraction form
    13,510.65/20,252.12 = 5,188.43/x
  3. Step 3: Cross multiply
    13,510.65x = 20,252.12 × 5,188.43
  4. Step 4: Simplify right side
    13,510.65x = 105,076,706.97
  5. Step 5: Solve for x
    x = 105,076,706.97/13,510.65
  6. Step 6: Final answer
    x = 7,777.32

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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.