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Finding the Fourth Proportional to 27,442, 37,870.62 and 16,825.48

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Solution

The fourth proportional to 27,442, 37,870.62 and 16,825.48 is: 23,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442 : 37,870.62 = 16,825.48 : x
  2. Step 2: Convert to fraction form
    27,442/37,870.62 = 16,825.48/x
  3. Step 3: Cross multiply
    27,442x = 37,870.62 × 16,825.48
  4. Step 4: Simplify right side
    27,442x = 637,191,359.40
  5. Step 5: Solve for x
    x = 637,191,359.40/27,442
  6. Step 6: Final answer
    x = 23,219.57

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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.