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Finding the Fourth Proportional to 27,796, 38,332.52 and 17,713.92

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Solution

The fourth proportional to 27,796, 38,332.52 and 17,713.92 is: 24,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796 : 38,332.52 = 17,713.92 : x
  2. Step 2: Convert to fraction form
    27,796/38,332.52 = 17,713.92/x
  3. Step 3: Cross multiply
    27,796x = 38,332.52 × 17,713.92
  4. Step 4: Simplify right side
    27,796x = 679,019,192.68
  5. Step 5: Solve for x
    x = 679,019,192.68/27,796
  6. Step 6: Final answer
    x = 24,428.67

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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.