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Finding the Fourth Proportional to 15,717.80, 23,580.12 and 5,188.28

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Solution

The fourth proportional to 15,717.80, 23,580.12 and 5,188.28 is: 7,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717.80 : 23,580.12 = 5,188.28 : x
  2. Step 2: Convert to fraction form
    15,717.80/23,580.12 = 5,188.28/x
  3. Step 3: Cross multiply
    15,717.80x = 23,580.12 × 5,188.28
  4. Step 4: Simplify right side
    15,717.80x = 122,340,264.99
  5. Step 5: Solve for x
    x = 122,340,264.99/15,717.80
  6. Step 6: Final answer
    x = 7,783.55

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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.