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Finding the Fourth Proportional to 27,293.67, 40,929.54 and 9,753.93

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Solution

The fourth proportional to 27,293.67, 40,929.54 and 9,753.93 is: 14,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,293.67 : 40,929.54 = 9,753.93 : x
  2. Step 2: Convert to fraction form
    27,293.67/40,929.54 = 9,753.93/x
  3. Step 3: Cross multiply
    27,293.67x = 40,929.54 × 9,753.93
  4. Step 4: Simplify right side
    27,293.67x = 399,223,868.09
  5. Step 5: Solve for x
    x = 399,223,868.09/27,293.67
  6. Step 6: Final answer
    x = 14,626.98

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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.