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Finding the Fourth Proportional to 27,646.50, 38,139.03 and 18,697.14

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Solution

The fourth proportional to 27,646.50, 38,139.03 and 18,697.14 is: 25,793.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646.50 : 38,139.03 = 18,697.14 : x
  2. Step 2: Convert to fraction form
    27,646.50/38,139.03 = 18,697.14/x
  3. Step 3: Cross multiply
    27,646.50x = 38,139.03 × 18,697.14
  4. Step 4: Simplify right side
    27,646.50x = 713,090,783.37
  5. Step 5: Solve for x
    x = 713,090,783.37/27,646.50
  6. Step 6: Final answer
    x = 25,793.17

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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.