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Finding the Fourth Proportional to 27,487.34, 37,931.78 and 15,222.32

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Solution

The fourth proportional to 27,487.34, 37,931.78 and 15,222.32 is: 21,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,487.34 : 37,931.78 = 15,222.32 : x
  2. Step 2: Convert to fraction form
    27,487.34/37,931.78 = 15,222.32/x
  3. Step 3: Cross multiply
    27,487.34x = 37,931.78 × 15,222.32
  4. Step 4: Simplify right side
    27,487.34x = 577,409,693.33
  5. Step 5: Solve for x
    x = 577,409,693.33/27,487.34
  6. Step 6: Final answer
    x = 21,006.39

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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.