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Finding the Fourth Proportional to 15,884.50, 23,827.36 and 5,355.01

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Solution

The fourth proportional to 15,884.50, 23,827.36 and 5,355.01 is: 8,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.50 : 23,827.36 = 5,355.01 : x
  2. Step 2: Convert to fraction form
    15,884.50/23,827.36 = 5,355.01/x
  3. Step 3: Cross multiply
    15,884.50x = 23,827.36 × 5,355.01
  4. Step 4: Simplify right side
    15,884.50x = 127,595,751.07
  5. Step 5: Solve for x
    x = 127,595,751.07/15,884.50
  6. Step 6: Final answer
    x = 8,032.72

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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.