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Finding the Fourth Proportional to 22,926.90, 34,390.47 and 10,438.19

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Solution

The fourth proportional to 22,926.90, 34,390.47 and 10,438.19 is: 15,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,926.90 : 34,390.47 = 10,438.19 : x
  2. Step 2: Convert to fraction form
    22,926.90/34,390.47 = 10,438.19/x
  3. Step 3: Cross multiply
    22,926.90x = 34,390.47 × 10,438.19
  4. Step 4: Simplify right side
    22,926.90x = 358,974,260.05
  5. Step 5: Solve for x
    x = 358,974,260.05/22,926.90
  6. Step 6: Final answer
    x = 15,657.34

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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.