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Finding the Fourth Proportional to 15,266.64, 22,879.14 and 9,345.54

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Solution

The fourth proportional to 15,266.64, 22,879.14 and 9,345.54 is: 14,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,266.64 : 22,879.14 = 9,345.54 : x
  2. Step 2: Convert to fraction form
    15,266.64/22,879.14 = 9,345.54/x
  3. Step 3: Cross multiply
    15,266.64x = 22,879.14 × 9,345.54
  4. Step 4: Simplify right side
    15,266.64x = 213,817,918.04
  5. Step 5: Solve for x
    x = 213,817,918.04/15,266.64
  6. Step 6: Final answer
    x = 14,005.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.