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Finding the Fourth Proportional to 12,319.90, 17,002.23 and 7,015.18

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Solution

The fourth proportional to 12,319.90, 17,002.23 and 7,015.18 is: 9,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.90 : 17,002.23 = 7,015.18 : x
  2. Step 2: Convert to fraction form
    12,319.90/17,002.23 = 7,015.18/x
  3. Step 3: Cross multiply
    12,319.90x = 17,002.23 × 7,015.18
  4. Step 4: Simplify right side
    12,319.90x = 119,273,703.85
  5. Step 5: Solve for x
    x = 119,273,703.85/12,319.90
  6. Step 6: Final answer
    x = 9,681.39

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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.