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Finding the Fourth Proportional to 12,422.16, 17,142.51 and 7,045.62

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Solution

The fourth proportional to 12,422.16, 17,142.51 and 7,045.62 is: 9,722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.16 : 17,142.51 = 7,045.62 : x
  2. Step 2: Convert to fraction form
    12,422.16/17,142.51 = 7,045.62/x
  3. Step 3: Cross multiply
    12,422.16x = 17,142.51 × 7,045.62
  4. Step 4: Simplify right side
    12,422.16x = 120,779,611.31
  5. Step 5: Solve for x
    x = 120,779,611.31/12,422.16
  6. Step 6: Final answer
    x = 9,722.92

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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.