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Finding the Fourth Proportional to 27,133.38, 37,443.60 and 15,196.68

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Solution

The fourth proportional to 27,133.38, 37,443.60 and 15,196.68 is: 20,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,133.38 : 37,443.60 = 15,196.68 : x
  2. Step 2: Convert to fraction form
    27,133.38/37,443.60 = 15,196.68/x
  3. Step 3: Cross multiply
    27,133.38x = 37,443.60 × 15,196.68
  4. Step 4: Simplify right side
    27,133.38x = 569,018,407.25
  5. Step 5: Solve for x
    x = 569,018,407.25/27,133.38
  6. Step 6: Final answer
    x = 20,971.16

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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.