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Finding the Fourth Proportional to 27,437.80, 41,124.30 and 11,642.80

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Solution

The fourth proportional to 27,437.80, 41,124.30 and 11,642.80 is: 17,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,437.80 : 41,124.30 = 11,642.80 : x
  2. Step 2: Convert to fraction form
    27,437.80/41,124.30 = 11,642.80/x
  3. Step 3: Cross multiply
    27,437.80x = 41,124.30 × 11,642.80
  4. Step 4: Simplify right side
    27,437.80x = 478,802,000.04
  5. Step 5: Solve for x
    x = 478,802,000.04/27,437.80
  6. Step 6: Final answer
    x = 17,450.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.