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Finding the Fourth Proportional to 15,482, 21,376.24 and 9,521.68

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Solution

The fourth proportional to 15,482, 21,376.24 and 9,521.68 is: 13,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,482 : 21,376.24 = 9,521.68 : x
  2. Step 2: Convert to fraction form
    15,482/21,376.24 = 9,521.68/x
  3. Step 3: Cross multiply
    15,482x = 21,376.24 × 9,521.68
  4. Step 4: Simplify right side
    15,482x = 203,537,716.88
  5. Step 5: Solve for x
    x = 203,537,716.88/15,482
  6. Step 6: Final answer
    x = 13,146.73

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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.