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Finding the Fourth Proportional to 15,834.90, 23,734.23 and 7,503.11

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Solution

The fourth proportional to 15,834.90, 23,734.23 and 7,503.11 is: 11,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834.90 : 23,734.23 = 7,503.11 : x
  2. Step 2: Convert to fraction form
    15,834.90/23,734.23 = 7,503.11/x
  3. Step 3: Cross multiply
    15,834.90x = 23,734.23 × 7,503.11
  4. Step 4: Simplify right side
    15,834.90x = 178,080,419.78
  5. Step 5: Solve for x
    x = 178,080,419.78/15,834.90
  6. Step 6: Final answer
    x = 11,246.07

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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.