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Finding the Fourth Proportional to 25,473.42, 38,200.68 and 8,829

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Solution

The fourth proportional to 25,473.42, 38,200.68 and 8,829 is: 13,240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,473.42 : 38,200.68 = 8,829 : x
  2. Step 2: Convert to fraction form
    25,473.42/38,200.68 = 8,829/x
  3. Step 3: Cross multiply
    25,473.42x = 38,200.68 × 8,829
  4. Step 4: Simplify right side
    25,473.42x = 337,273,803.72
  5. Step 5: Solve for x
    x = 337,273,803.72/25,473.42
  6. Step 6: Final answer
    x = 13,240.22

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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.