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Finding the Fourth Proportional to 10,248.44, 14,040.41 and 9,864.50

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Solution

The fourth proportional to 10,248.44, 14,040.41 and 9,864.50 is: 13,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,248.44 : 14,040.41 = 9,864.50 : x
  2. Step 2: Convert to fraction form
    10,248.44/14,040.41 = 9,864.50/x
  3. Step 3: Cross multiply
    10,248.44x = 14,040.41 × 9,864.50
  4. Step 4: Simplify right side
    10,248.44x = 138,501,578.90
  5. Step 5: Solve for x
    x = 138,501,578.90/10,248.44
  6. Step 6: Final answer
    x = 13,514.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.