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Finding the Fourth Proportional to 13,637.16, 20,460.06 and 6,706.80

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Solution

The fourth proportional to 13,637.16, 20,460.06 and 6,706.80 is: 10,062.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.16 : 20,460.06 = 6,706.80 : x
  2. Step 2: Convert to fraction form
    13,637.16/20,460.06 = 6,706.80/x
  3. Step 3: Cross multiply
    13,637.16x = 20,460.06 × 6,706.80
  4. Step 4: Simplify right side
    13,637.16x = 137,221,530.41
  5. Step 5: Solve for x
    x = 137,221,530.41/13,637.16
  6. Step 6: Final answer
    x = 10,062.32

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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.