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Finding the Fourth Proportional to 27,580.88, 38,061.78 and 15,005.72

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Solution

The fourth proportional to 27,580.88, 38,061.78 and 15,005.72 is: 20,707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.88 : 38,061.78 = 15,005.72 : x
  2. Step 2: Convert to fraction form
    27,580.88/38,061.78 = 15,005.72/x
  3. Step 3: Cross multiply
    27,580.88x = 38,061.78 × 15,005.72
  4. Step 4: Simplify right side
    27,580.88x = 571,144,413.38
  5. Step 5: Solve for x
    x = 571,144,413.38/27,580.88
  6. Step 6: Final answer
    x = 20,707.98

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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.