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Finding the Fourth Proportional to 27,886.38, 38,482.98 and 16,561.44

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Solution

The fourth proportional to 27,886.38, 38,482.98 and 16,561.44 is: 22,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,886.38 : 38,482.98 = 16,561.44 : x
  2. Step 2: Convert to fraction form
    27,886.38/38,482.98 = 16,561.44/x
  3. Step 3: Cross multiply
    27,886.38x = 38,482.98 × 16,561.44
  4. Step 4: Simplify right side
    27,886.38x = 637,333,564.29
  5. Step 5: Solve for x
    x = 637,333,564.29/27,886.38
  6. Step 6: Final answer
    x = 22,854.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.