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Finding the Fourth Proportional to 12,967.14, 19,449.88 and 6,387.50

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Solution

The fourth proportional to 12,967.14, 19,449.88 and 6,387.50 is: 9,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.14 : 19,449.88 = 6,387.50 : x
  2. Step 2: Convert to fraction form
    12,967.14/19,449.88 = 6,387.50/x
  3. Step 3: Cross multiply
    12,967.14x = 19,449.88 × 6,387.50
  4. Step 4: Simplify right side
    12,967.14x = 124,236,108.50
  5. Step 5: Solve for x
    x = 124,236,108.50/12,967.14
  6. Step 6: Final answer
    x = 9,580.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.