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Finding the Fourth Proportional to 27,857.40, 38,437.29 and 16,530.58

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Solution

The fourth proportional to 27,857.40, 38,437.29 and 16,530.58 is: 22,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.40 : 38,437.29 = 16,530.58 : x
  2. Step 2: Convert to fraction form
    27,857.40/38,437.29 = 16,530.58/x
  3. Step 3: Cross multiply
    27,857.40x = 38,437.29 × 16,530.58
  4. Step 4: Simplify right side
    27,857.40x = 635,390,505.14
  5. Step 5: Solve for x
    x = 635,390,505.14/27,857.40
  6. Step 6: Final answer
    x = 22,808.68

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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.