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Finding the Fourth Proportional to 21,986.32, 32,981 and 8,838.70

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Solution

The fourth proportional to 21,986.32, 32,981 and 8,838.70 is: 13,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986.32 : 32,981 = 8,838.70 : x
  2. Step 2: Convert to fraction form
    21,986.32/32,981 = 8,838.70/x
  3. Step 3: Cross multiply
    21,986.32x = 32,981 × 8,838.70
  4. Step 4: Simplify right side
    21,986.32x = 291,509,164.70
  5. Step 5: Solve for x
    x = 291,509,164.70/21,986.32
  6. Step 6: Final answer
    x = 13,258.66

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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.