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Finding the Fourth Proportional to 30,429.64, 41,992.48 and 17,002.20

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Solution

The fourth proportional to 30,429.64, 41,992.48 and 17,002.20 is: 23,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,429.64 : 41,992.48 = 17,002.20 : x
  2. Step 2: Convert to fraction form
    30,429.64/41,992.48 = 17,002.20/x
  3. Step 3: Cross multiply
    30,429.64x = 41,992.48 × 17,002.20
  4. Step 4: Simplify right side
    30,429.64x = 713,964,543.46
  5. Step 5: Solve for x
    x = 713,964,543.46/30,429.64
  6. Step 6: Final answer
    x = 23,462.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.