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Finding the Fourth Proportional to 26,216, 39,330.48 and 7,748

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Solution

The fourth proportional to 26,216, 39,330.48 and 7,748 is: 11,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,216 : 39,330.48 = 7,748 : x
  2. Step 2: Convert to fraction form
    26,216/39,330.48 = 7,748/x
  3. Step 3: Cross multiply
    26,216x = 39,330.48 × 7,748
  4. Step 4: Simplify right side
    26,216x = 304,732,559.04
  5. Step 5: Solve for x
    x = 304,732,559.04/26,216
  6. Step 6: Final answer
    x = 11,623.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.