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Finding the Fourth Proportional to 15,592.68, 23,396.04 and 6,830.10

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Solution

The fourth proportional to 15,592.68, 23,396.04 and 6,830.10 is: 10,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,592.68 : 23,396.04 = 6,830.10 : x
  2. Step 2: Convert to fraction form
    15,592.68/23,396.04 = 6,830.10/x
  3. Step 3: Cross multiply
    15,592.68x = 23,396.04 × 6,830.10
  4. Step 4: Simplify right side
    15,592.68x = 159,797,292.80
  5. Step 5: Solve for x
    x = 159,797,292.80/15,592.68
  6. Step 6: Final answer
    x = 10,248.22

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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.