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Finding the Fourth Proportional to 15,499, 23,248.68 and 3,812.20

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Solution

The fourth proportional to 15,499, 23,248.68 and 3,812.20 is: 5,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,499 : 23,248.68 = 3,812.20 : x
  2. Step 2: Convert to fraction form
    15,499/23,248.68 = 3,812.20/x
  3. Step 3: Cross multiply
    15,499x = 23,248.68 × 3,812.20
  4. Step 4: Simplify right side
    15,499x = 88,628,617.90
  5. Step 5: Solve for x
    x = 88,628,617.90/15,499
  6. Step 6: Final answer
    x = 5,718.34

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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.