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Finding the Fourth Proportional to 12,934.46, 19,314.01 and 10,272.08

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Solution

The fourth proportional to 12,934.46, 19,314.01 and 10,272.08 is: 15,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.46 : 19,314.01 = 10,272.08 : x
  2. Step 2: Convert to fraction form
    12,934.46/19,314.01 = 10,272.08/x
  3. Step 3: Cross multiply
    12,934.46x = 19,314.01 × 10,272.08
  4. Step 4: Simplify right side
    12,934.46x = 198,395,055.84
  5. Step 5: Solve for x
    x = 198,395,055.84/12,934.46
  6. Step 6: Final answer
    x = 15,338.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.