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Finding the Fourth Proportional to 12,424.52, 17,146.23 and 7,121

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Solution

The fourth proportional to 12,424.52, 17,146.23 and 7,121 is: 9,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.52 : 17,146.23 = 7,121 : x
  2. Step 2: Convert to fraction form
    12,424.52/17,146.23 = 7,121/x
  3. Step 3: Cross multiply
    12,424.52x = 17,146.23 × 7,121
  4. Step 4: Simplify right side
    12,424.52x = 122,098,303.83
  5. Step 5: Solve for x
    x = 122,098,303.83/12,424.52
  6. Step 6: Final answer
    x = 9,827.20

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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.