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Finding the Fourth Proportional to 15,753.96, 23,627.69 and 7,430.40

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Solution

The fourth proportional to 15,753.96, 23,627.69 and 7,430.40 is: 11,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,753.96 : 23,627.69 = 7,430.40 : x
  2. Step 2: Convert to fraction form
    15,753.96/23,627.69 = 7,430.40/x
  3. Step 3: Cross multiply
    15,753.96x = 23,627.69 × 7,430.40
  4. Step 4: Simplify right side
    15,753.96x = 175,563,150.62
  5. Step 5: Solve for x
    x = 175,563,150.62/15,753.96
  6. Step 6: Final answer
    x = 11,144.06

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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.