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Finding the Fourth Proportional to 15,499, 23,248.50 and 5,111.56

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Solution

The fourth proportional to 15,499, 23,248.50 and 5,111.56 is: 7,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,499 : 23,248.50 = 5,111.56 : x
  2. Step 2: Convert to fraction form
    15,499/23,248.50 = 5,111.56/x
  3. Step 3: Cross multiply
    15,499x = 23,248.50 × 5,111.56
  4. Step 4: Simplify right side
    15,499x = 118,836,102.66
  5. Step 5: Solve for x
    x = 118,836,102.66/15,499
  6. Step 6: Final answer
    x = 7,667.34

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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.