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Finding the Fourth Proportional to 27,870.54, 38,458.80 and 16,538.09

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Solution

The fourth proportional to 27,870.54, 38,458.80 and 16,538.09 is: 22,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870.54 : 38,458.80 = 16,538.09 : x
  2. Step 2: Convert to fraction form
    27,870.54/38,458.80 = 16,538.09/x
  3. Step 3: Cross multiply
    27,870.54x = 38,458.80 × 16,538.09
  4. Step 4: Simplify right side
    27,870.54x = 636,035,095.69
  5. Step 5: Solve for x
    x = 636,035,095.69/27,870.54
  6. Step 6: Final answer
    x = 22,821.05

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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.