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Finding the Fourth Proportional to 22,010.60, 32,972.70 and 13,219.40

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Solution

The fourth proportional to 22,010.60, 32,972.70 and 13,219.40 is: 19,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,010.60 : 32,972.70 = 13,219.40 : x
  2. Step 2: Convert to fraction form
    22,010.60/32,972.70 = 13,219.40/x
  3. Step 3: Cross multiply
    22,010.60x = 32,972.70 × 13,219.40
  4. Step 4: Simplify right side
    22,010.60x = 435,879,310.38
  5. Step 5: Solve for x
    x = 435,879,310.38/22,010.60
  6. Step 6: Final answer
    x = 19,803.15

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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.