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Finding the Fourth Proportional to 27,442.83, 37,871.10 and 14,867.58

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Solution

The fourth proportional to 27,442.83, 37,871.10 and 14,867.58 is: 20,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442.83 : 37,871.10 = 14,867.58 : x
  2. Step 2: Convert to fraction form
    27,442.83/37,871.10 = 14,867.58/x
  3. Step 3: Cross multiply
    27,442.83x = 37,871.10 × 14,867.58
  4. Step 4: Simplify right side
    27,442.83x = 563,051,608.94
  5. Step 5: Solve for x
    x = 563,051,608.94/27,442.83
  6. Step 6: Final answer
    x = 20,517.26

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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.