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Finding the Fourth Proportional to 28,016.32, 42,027.76 and 9,298

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Solution

The fourth proportional to 28,016.32, 42,027.76 and 9,298 is: 13,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,016.32 : 42,027.76 = 9,298 : x
  2. Step 2: Convert to fraction form
    28,016.32/42,027.76 = 9,298/x
  3. Step 3: Cross multiply
    28,016.32x = 42,027.76 × 9,298
  4. Step 4: Simplify right side
    28,016.32x = 390,774,112.48
  5. Step 5: Solve for x
    x = 390,774,112.48/28,016.32
  6. Step 6: Final answer
    x = 13,948.09

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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.