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Finding the Fourth Proportional to 19,523.84, 29,292.96 and 7,044.80

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Solution

The fourth proportional to 19,523.84, 29,292.96 and 7,044.80 is: 10,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,523.84 : 29,292.96 = 7,044.80 : x
  2. Step 2: Convert to fraction form
    19,523.84/29,292.96 = 7,044.80/x
  3. Step 3: Cross multiply
    19,523.84x = 29,292.96 × 7,044.80
  4. Step 4: Simplify right side
    19,523.84x = 206,363,044.61
  5. Step 5: Solve for x
    x = 206,363,044.61/19,523.84
  6. Step 6: Final answer
    x = 10,569.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.