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Finding the Fourth Proportional to 15,710.48, 23,563.92 and 9,849.20

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Solution

The fourth proportional to 15,710.48, 23,563.92 and 9,849.20 is: 14,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.48 : 23,563.92 = 9,849.20 : x
  2. Step 2: Convert to fraction form
    15,710.48/23,563.92 = 9,849.20/x
  3. Step 3: Cross multiply
    15,710.48x = 23,563.92 × 9,849.20
  4. Step 4: Simplify right side
    15,710.48x = 232,085,760.86
  5. Step 5: Solve for x
    x = 232,085,760.86/15,710.48
  6. Step 6: Final answer
    x = 14,772.67

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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.