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Finding the Fourth Proportional to 12,329.45, 17,013.65 and 7,547.39

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Solution

The fourth proportional to 12,329.45, 17,013.65 and 7,547.39 is: 10,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.45 : 17,013.65 = 7,547.39 : x
  2. Step 2: Convert to fraction form
    12,329.45/17,013.65 = 7,547.39/x
  3. Step 3: Cross multiply
    12,329.45x = 17,013.65 × 7,547.39
  4. Step 4: Simplify right side
    12,329.45x = 128,408,592.87
  5. Step 5: Solve for x
    x = 128,408,592.87/12,329.45
  6. Step 6: Final answer
    x = 10,414.79

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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.