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Finding the Fourth Proportional to 24,218.33, 36,307.89 and 7,569.79

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Solution

The fourth proportional to 24,218.33, 36,307.89 and 7,569.79 is: 11,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,218.33 : 36,307.89 = 7,569.79 : x
  2. Step 2: Convert to fraction form
    24,218.33/36,307.89 = 7,569.79/x
  3. Step 3: Cross multiply
    24,218.33x = 36,307.89 × 7,569.79
  4. Step 4: Simplify right side
    24,218.33x = 274,842,974.02
  5. Step 5: Solve for x
    x = 274,842,974.02/24,218.33
  6. Step 6: Final answer
    x = 11,348.55

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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.