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Finding the Fourth Proportional to 13,637.16, 20,459.88 and 6,706.80

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Solution

The fourth proportional to 13,637.16, 20,459.88 and 6,706.80 is: 10,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.16 : 20,459.88 = 6,706.80 : x
  2. Step 2: Convert to fraction form
    13,637.16/20,459.88 = 6,706.80/x
  3. Step 3: Cross multiply
    13,637.16x = 20,459.88 × 6,706.80
  4. Step 4: Simplify right side
    13,637.16x = 137,220,323.18
  5. Step 5: Solve for x
    x = 137,220,323.18/13,637.16
  6. Step 6: Final answer
    x = 10,062.24

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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.