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Finding the Fourth Proportional to 15,083.52, 20,802.60 and 9,706.80

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Solution

The fourth proportional to 15,083.52, 20,802.60 and 9,706.80 is: 13,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,083.52 : 20,802.60 = 9,706.80 : x
  2. Step 2: Convert to fraction form
    15,083.52/20,802.60 = 9,706.80/x
  3. Step 3: Cross multiply
    15,083.52x = 20,802.60 × 9,706.80
  4. Step 4: Simplify right side
    15,083.52x = 201,926,677.68
  5. Step 5: Solve for x
    x = 201,926,677.68/15,083.52
  6. Step 6: Final answer
    x = 13,387.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.