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Finding the Fourth Proportional to 11,228.14, 15,501.50 and 9,982.68

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Solution

The fourth proportional to 11,228.14, 15,501.50 and 9,982.68 is: 13,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228.14 : 15,501.50 = 9,982.68 : x
  2. Step 2: Convert to fraction form
    11,228.14/15,501.50 = 9,982.68/x
  3. Step 3: Cross multiply
    11,228.14x = 15,501.50 × 9,982.68
  4. Step 4: Simplify right side
    11,228.14x = 154,746,514.02
  5. Step 5: Solve for x
    x = 154,746,514.02/11,228.14
  6. Step 6: Final answer
    x = 13,782.03

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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.