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Finding the Fourth Proportional to 27,709.39, 38,238.93 and 15,134.14

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Solution

The fourth proportional to 27,709.39, 38,238.93 and 15,134.14 is: 20,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.39 : 38,238.93 = 15,134.14 : x
  2. Step 2: Convert to fraction form
    27,709.39/38,238.93 = 15,134.14/x
  3. Step 3: Cross multiply
    27,709.39x = 38,238.93 × 15,134.14
  4. Step 4: Simplify right side
    27,709.39x = 578,713,320.07
  5. Step 5: Solve for x
    x = 578,713,320.07/27,709.39
  6. Step 6: Final answer
    x = 20,885.10

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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.