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Finding the Fourth Proportional to 15,885.71, 23,813.06 and 7,563.48

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Solution

The fourth proportional to 15,885.71, 23,813.06 and 7,563.48 is: 11,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,885.71 : 23,813.06 = 7,563.48 : x
  2. Step 2: Convert to fraction form
    15,885.71/23,813.06 = 7,563.48/x
  3. Step 3: Cross multiply
    15,885.71x = 23,813.06 × 7,563.48
  4. Step 4: Simplify right side
    15,885.71x = 180,109,711.26
  5. Step 5: Solve for x
    x = 180,109,711.26/15,885.71
  6. Step 6: Final answer
    x = 11,337.85

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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.