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Finding the Fourth Proportional to 15,884.24, 23,823.05 and 6,515.10

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Solution

The fourth proportional to 15,884.24, 23,823.05 and 6,515.10 is: 9,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.24 : 23,823.05 = 6,515.10 : x
  2. Step 2: Convert to fraction form
    15,884.24/23,823.05 = 6,515.10/x
  3. Step 3: Cross multiply
    15,884.24x = 23,823.05 × 6,515.10
  4. Step 4: Simplify right side
    15,884.24x = 155,209,520.48
  5. Step 5: Solve for x
    x = 155,209,520.48/15,884.24
  6. Step 6: Final answer
    x = 9,771.29

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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.