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Finding the Fourth Proportional to 27,442.84, 37,871.16 and 14,867.56

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Solution

The fourth proportional to 27,442.84, 37,871.16 and 14,867.56 is: 20,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442.84 : 37,871.16 = 14,867.56 : x
  2. Step 2: Convert to fraction form
    27,442.84/37,871.16 = 14,867.56/x
  3. Step 3: Cross multiply
    27,442.84x = 37,871.16 × 14,867.56
  4. Step 4: Simplify right side
    27,442.84x = 563,051,743.57
  5. Step 5: Solve for x
    x = 563,051,743.57/27,442.84
  6. Step 6: Final answer
    x = 20,517.25

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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.