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Finding the Fourth Proportional to 27,806.49, 38,374.16 and 15,870.74

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Solution

The fourth proportional to 27,806.49, 38,374.16 and 15,870.74 is: 21,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.49 : 38,374.16 = 15,870.74 : x
  2. Step 2: Convert to fraction form
    27,806.49/38,374.16 = 15,870.74/x
  3. Step 3: Cross multiply
    27,806.49x = 38,374.16 × 15,870.74
  4. Step 4: Simplify right side
    27,806.49x = 609,026,044.85
  5. Step 5: Solve for x
    x = 609,026,044.85/27,806.49
  6. Step 6: Final answer
    x = 21,902.30

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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.