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Finding the Fourth Proportional to 15,772.80, 23,673.66 and 7,987.08

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Solution

The fourth proportional to 15,772.80, 23,673.66 and 7,987.08 is: 11,987.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.80 : 23,673.66 = 7,987.08 : x
  2. Step 2: Convert to fraction form
    15,772.80/23,673.66 = 7,987.08/x
  3. Step 3: Cross multiply
    15,772.80x = 23,673.66 × 7,987.08
  4. Step 4: Simplify right side
    15,772.80x = 189,083,416.31
  5. Step 5: Solve for x
    x = 189,083,416.31/15,772.80
  6. Step 6: Final answer
    x = 11,987.94

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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.