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Finding the Fourth Proportional to 15,833.00, 23,749.50 and 6,823.42

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Solution

The fourth proportional to 15,833.00, 23,749.50 and 6,823.42 is: 10,235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.00 : 23,749.50 = 6,823.42 : x
  2. Step 2: Convert to fraction form
    15,833.00/23,749.50 = 6,823.42/x
  3. Step 3: Cross multiply
    15,833.00x = 23,749.50 × 6,823.42
  4. Step 4: Simplify right side
    15,833.00x = 162,052,913.10
  5. Step 5: Solve for x
    x = 162,052,913.10/15,833.00
  6. Step 6: Final answer
    x = 10,235.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.