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Finding the Fourth Proportional to 14,971.32, 20,660.16 and 8,257.59

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Solution

The fourth proportional to 14,971.32, 20,660.16 and 8,257.59 is: 11,395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.32 : 20,660.16 = 8,257.59 : x
  2. Step 2: Convert to fraction form
    14,971.32/20,660.16 = 8,257.59/x
  3. Step 3: Cross multiply
    14,971.32x = 20,660.16 × 8,257.59
  4. Step 4: Simplify right side
    14,971.32x = 170,603,130.61
  5. Step 5: Solve for x
    x = 170,603,130.61/14,971.32
  6. Step 6: Final answer
    x = 11,395.33

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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.