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Finding the Fourth Proportional to 16,570.75, 24,856.14 and 4,258.75

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Solution

The fourth proportional to 16,570.75, 24,856.14 and 4,258.75 is: 6,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.75 : 24,856.14 = 4,258.75 : x
  2. Step 2: Convert to fraction form
    16,570.75/24,856.14 = 4,258.75/x
  3. Step 3: Cross multiply
    16,570.75x = 24,856.14 × 4,258.75
  4. Step 4: Simplify right side
    16,570.75x = 105,856,086.23
  5. Step 5: Solve for x
    x = 105,856,086.23/16,570.75
  6. Step 6: Final answer
    x = 6,388.13

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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.