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Finding the Fourth Proportional to 22,774.90, 34,152.28 and 10,294.42

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Solution

The fourth proportional to 22,774.90, 34,152.28 and 10,294.42 is: 15,437.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.90 : 34,152.28 = 10,294.42 : x
  2. Step 2: Convert to fraction form
    22,774.90/34,152.28 = 10,294.42/x
  3. Step 3: Cross multiply
    22,774.90x = 34,152.28 × 10,294.42
  4. Step 4: Simplify right side
    22,774.90x = 351,577,914.28
  5. Step 5: Solve for x
    x = 351,577,914.28/22,774.90
  6. Step 6: Final answer
    x = 15,437.08

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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.