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Finding the Fourth Proportional to 18,302.50, 25,257.45 and 9,919

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Solution

The fourth proportional to 18,302.50, 25,257.45 and 9,919 is: 13,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,302.50 : 25,257.45 = 9,919 : x
  2. Step 2: Convert to fraction form
    18,302.50/25,257.45 = 9,919/x
  3. Step 3: Cross multiply
    18,302.50x = 25,257.45 × 9,919
  4. Step 4: Simplify right side
    18,302.50x = 250,528,646.55
  5. Step 5: Solve for x
    x = 250,528,646.55/18,302.50
  6. Step 6: Final answer
    x = 13,688.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.