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Finding the Fourth Proportional to 21,737.02, 32,607.36 and 6,948.04

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Solution

The fourth proportional to 21,737.02, 32,607.36 and 6,948.04 is: 10,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,737.02 : 32,607.36 = 6,948.04 : x
  2. Step 2: Convert to fraction form
    21,737.02/32,607.36 = 6,948.04/x
  3. Step 3: Cross multiply
    21,737.02x = 32,607.36 × 6,948.04
  4. Step 4: Simplify right side
    21,737.02x = 226,557,241.57
  5. Step 5: Solve for x
    x = 226,557,241.57/21,737.02
  6. Step 6: Final answer
    x = 10,422.64

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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.