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Finding the Fourth Proportional to 12,329.52, 17,014.68 and 6,740.16

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Solution

The fourth proportional to 12,329.52, 17,014.68 and 6,740.16 is: 9,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.52 : 17,014.68 = 6,740.16 : x
  2. Step 2: Convert to fraction form
    12,329.52/17,014.68 = 6,740.16/x
  3. Step 3: Cross multiply
    12,329.52x = 17,014.68 × 6,740.16
  4. Step 4: Simplify right side
    12,329.52x = 114,681,665.55
  5. Step 5: Solve for x
    x = 114,681,665.55/12,329.52
  6. Step 6: Final answer
    x = 9,301.39

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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.