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Finding the Fourth Proportional to 27,005.98, 37,294.92 and 17,580

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Solution

The fourth proportional to 27,005.98, 37,294.92 and 17,580 is: 24,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005.98 : 37,294.92 = 17,580 : x
  2. Step 2: Convert to fraction form
    27,005.98/37,294.92 = 17,580/x
  3. Step 3: Cross multiply
    27,005.98x = 37,294.92 × 17,580
  4. Step 4: Simplify right side
    27,005.98x = 655,644,693.60
  5. Step 5: Solve for x
    x = 655,644,693.60/27,005.98
  6. Step 6: Final answer
    x = 24,277.76

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