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Finding the Fourth Proportional to 12,499.34, 17,244.20 and 7,191.40

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Solution

The fourth proportional to 12,499.34, 17,244.20 and 7,191.40 is: 9,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,499.34 : 17,244.20 = 7,191.40 : x
  2. Step 2: Convert to fraction form
    12,499.34/17,244.20 = 7,191.40/x
  3. Step 3: Cross multiply
    12,499.34x = 17,244.20 × 7,191.40
  4. Step 4: Simplify right side
    12,499.34x = 124,009,939.88
  5. Step 5: Solve for x
    x = 124,009,939.88/12,499.34
  6. Step 6: Final answer
    x = 9,921.32

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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.