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Finding the Fourth Proportional to 27,539.68, 38,006.30 and 15,606.86

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Solution

The fourth proportional to 27,539.68, 38,006.30 and 15,606.86 is: 21,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,539.68 : 38,006.30 = 15,606.86 : x
  2. Step 2: Convert to fraction form
    27,539.68/38,006.30 = 15,606.86/x
  3. Step 3: Cross multiply
    27,539.68x = 38,006.30 × 15,606.86
  4. Step 4: Simplify right side
    27,539.68x = 593,159,204.38
  5. Step 5: Solve for x
    x = 593,159,204.38/27,539.68
  6. Step 6: Final answer
    x = 21,538.34

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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.