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Finding the Fourth Proportional to 30,429.84, 41,990.16 and 17,000.80

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Solution

The fourth proportional to 30,429.84, 41,990.16 and 17,000.80 is: 23,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,429.84 : 41,990.16 = 17,000.80 : x
  2. Step 2: Convert to fraction form
    30,429.84/41,990.16 = 17,000.80/x
  3. Step 3: Cross multiply
    30,429.84x = 41,990.16 × 17,000.80
  4. Step 4: Simplify right side
    30,429.84x = 713,866,312.13
  5. Step 5: Solve for x
    x = 713,866,312.13/30,429.84
  6. Step 6: Final answer
    x = 23,459.42

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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.