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Finding the Fourth Proportional to 27,870.54, 38,450.40 and 15,927.47

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Solution

The fourth proportional to 27,870.54, 38,450.40 and 15,927.47 is: 21,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870.54 : 38,450.40 = 15,927.47 : x
  2. Step 2: Convert to fraction form
    27,870.54/38,450.40 = 15,927.47/x
  3. Step 3: Cross multiply
    27,870.54x = 38,450.40 × 15,927.47
  4. Step 4: Simplify right side
    27,870.54x = 612,417,512.85
  5. Step 5: Solve for x
    x = 612,417,512.85/27,870.54
  6. Step 6: Final answer
    x = 21,973.65

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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.