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Finding the Fourth Proportional to 21,830.40, 32,737.60 and 7,043.20

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Solution

The fourth proportional to 21,830.40, 32,737.60 and 7,043.20 is: 10,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.40 : 32,737.60 = 7,043.20 : x
  2. Step 2: Convert to fraction form
    21,830.40/32,737.60 = 7,043.20/x
  3. Step 3: Cross multiply
    21,830.40x = 32,737.60 × 7,043.20
  4. Step 4: Simplify right side
    21,830.40x = 230,577,464.32
  5. Step 5: Solve for x
    x = 230,577,464.32/21,830.40
  6. Step 6: Final answer
    x = 10,562.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.