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Finding the Fourth Proportional to 27,569.16, 38,054.04 and 15,640.44

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Solution

The fourth proportional to 27,569.16, 38,054.04 and 15,640.44 is: 21,588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569.16 : 38,054.04 = 15,640.44 : x
  2. Step 2: Convert to fraction form
    27,569.16/38,054.04 = 15,640.44/x
  3. Step 3: Cross multiply
    27,569.16x = 38,054.04 × 15,640.44
  4. Step 4: Simplify right side
    27,569.16x = 595,181,929.38
  5. Step 5: Solve for x
    x = 595,181,929.38/27,569.16
  6. Step 6: Final answer
    x = 21,588.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.