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Finding the Fourth Proportional to 14,258.52, 21,388.86 and 3,870

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Solution

The fourth proportional to 14,258.52, 21,388.86 and 3,870 is: 5,805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.52 : 21,388.86 = 3,870 : x
  2. Step 2: Convert to fraction form
    14,258.52/21,388.86 = 3,870/x
  3. Step 3: Cross multiply
    14,258.52x = 21,388.86 × 3,870
  4. Step 4: Simplify right side
    14,258.52x = 82,774,888.20
  5. Step 5: Solve for x
    x = 82,774,888.20/14,258.52
  6. Step 6: Final answer
    x = 5,805.29

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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.