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Finding the Fourth Proportional to 21,872.61, 32,802.03 and 7,078.10

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Solution

The fourth proportional to 21,872.61, 32,802.03 and 7,078.10 is: 10,614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.61 : 32,802.03 = 7,078.10 : x
  2. Step 2: Convert to fraction form
    21,872.61/32,802.03 = 7,078.10/x
  3. Step 3: Cross multiply
    21,872.61x = 32,802.03 × 7,078.10
  4. Step 4: Simplify right side
    21,872.61x = 232,175,884.53
  5. Step 5: Solve for x
    x = 232,175,884.53/21,872.61
  6. Step 6: Final answer
    x = 10,614.91

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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.