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Finding the Fourth Proportional to 22,024.20, 32,987.70 and 21,538.20

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Solution

The fourth proportional to 22,024.20, 32,987.70 and 21,538.20 is: 32,259.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024.20 : 32,987.70 = 21,538.20 : x
  2. Step 2: Convert to fraction form
    22,024.20/32,987.70 = 21,538.20/x
  3. Step 3: Cross multiply
    22,024.20x = 32,987.70 × 21,538.20
  4. Step 4: Simplify right side
    22,024.20x = 710,495,680.14
  5. Step 5: Solve for x
    x = 710,495,680.14/22,024.20
  6. Step 6: Final answer
    x = 32,259.77

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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.