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Finding the Fourth Proportional to 14,971.88, 20,660.24 and 8,257.16

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Solution

The fourth proportional to 14,971.88, 20,660.24 and 8,257.16 is: 11,394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.88 : 20,660.24 = 8,257.16 : x
  2. Step 2: Convert to fraction form
    14,971.88/20,660.24 = 8,257.16/x
  3. Step 3: Cross multiply
    14,971.88x = 20,660.24 × 8,257.16
  4. Step 4: Simplify right side
    14,971.88x = 170,594,907.32
  5. Step 5: Solve for x
    x = 170,594,907.32/14,971.88
  6. Step 6: Final answer
    x = 11,394.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.