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Finding the Fourth Proportional to 15,602.67, 23,387.40 and 7,707.60

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Solution

The fourth proportional to 15,602.67, 23,387.40 and 7,707.60 is: 11,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,602.67 : 23,387.40 = 7,707.60 : x
  2. Step 2: Convert to fraction form
    15,602.67/23,387.40 = 7,707.60/x
  3. Step 3: Cross multiply
    15,602.67x = 23,387.40 × 7,707.60
  4. Step 4: Simplify right side
    15,602.67x = 180,260,724.24
  5. Step 5: Solve for x
    x = 180,260,724.24/15,602.67
  6. Step 6: Final answer
    x = 11,553.20

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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.