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Finding the Fourth Proportional to 15,812.84, 21,815.46 and 9,524.36

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Solution

The fourth proportional to 15,812.84, 21,815.46 and 9,524.36 is: 13,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.84 : 21,815.46 = 9,524.36 : x
  2. Step 2: Convert to fraction form
    15,812.84/21,815.46 = 9,524.36/x
  3. Step 3: Cross multiply
    15,812.84x = 21,815.46 × 9,524.36
  4. Step 4: Simplify right side
    15,812.84x = 207,778,294.61
  5. Step 5: Solve for x
    x = 207,778,294.61/15,812.84
  6. Step 6: Final answer
    x = 13,139.85

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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.