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Finding the Fourth Proportional to 15,494.76, 23,242.24 and 3,808

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Solution

The fourth proportional to 15,494.76, 23,242.24 and 3,808 is: 5,712.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.76 : 23,242.24 = 3,808 : x
  2. Step 2: Convert to fraction form
    15,494.76/23,242.24 = 3,808/x
  3. Step 3: Cross multiply
    15,494.76x = 23,242.24 × 3,808
  4. Step 4: Simplify right side
    15,494.76x = 88,506,449.92
  5. Step 5: Solve for x
    x = 88,506,449.92/15,494.76
  6. Step 6: Final answer
    x = 5,712.02

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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.