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Finding the Fourth Proportional to 18,248.50, 25,182.94 and 9,865

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Solution

The fourth proportional to 18,248.50, 25,182.94 and 9,865 is: 13,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,248.50 : 25,182.94 = 9,865 : x
  2. Step 2: Convert to fraction form
    18,248.50/25,182.94 = 9,865/x
  3. Step 3: Cross multiply
    18,248.50x = 25,182.94 × 9,865
  4. Step 4: Simplify right side
    18,248.50x = 248,429,703.10
  5. Step 5: Solve for x
    x = 248,429,703.10/18,248.50
  6. Step 6: Final answer
    x = 13,613.71

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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.