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Finding the Fourth Proportional to 23,907.50, 32,988.61 and 13,297.14

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Solution

The fourth proportional to 23,907.50, 32,988.61 and 13,297.14 is: 18,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,907.50 : 32,988.61 = 13,297.14 : x
  2. Step 2: Convert to fraction form
    23,907.50/32,988.61 = 13,297.14/x
  3. Step 3: Cross multiply
    23,907.50x = 32,988.61 × 13,297.14
  4. Step 4: Simplify right side
    23,907.50x = 438,654,132.33
  5. Step 5: Solve for x
    x = 438,654,132.33/23,907.50
  6. Step 6: Final answer
    x = 18,347.97

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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.