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Finding the Fourth Proportional to 15,434.78, 21,296.31 and 9,146.06

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Solution

The fourth proportional to 15,434.78, 21,296.31 and 9,146.06 is: 12,619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,434.78 : 21,296.31 = 9,146.06 : x
  2. Step 2: Convert to fraction form
    15,434.78/21,296.31 = 9,146.06/x
  3. Step 3: Cross multiply
    15,434.78x = 21,296.31 × 9,146.06
  4. Step 4: Simplify right side
    15,434.78x = 194,777,329.04
  5. Step 5: Solve for x
    x = 194,777,329.04/15,434.78
  6. Step 6: Final answer
    x = 12,619.38

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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.