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Finding the Fourth Proportional to 16,722.25, 25,084.59 and 6,334

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Solution

The fourth proportional to 16,722.25, 25,084.59 and 6,334 is: 9,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,722.25 : 25,084.59 = 6,334 : x
  2. Step 2: Convert to fraction form
    16,722.25/25,084.59 = 6,334/x
  3. Step 3: Cross multiply
    16,722.25x = 25,084.59 × 6,334
  4. Step 4: Simplify right side
    16,722.25x = 158,885,793.06
  5. Step 5: Solve for x
    x = 158,885,793.06/16,722.25
  6. Step 6: Final answer
    x = 9,501.46

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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.