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Finding the Fourth Proportional to 23,098.05, 34,646.76 and 5,567.72

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Solution

The fourth proportional to 23,098.05, 34,646.76 and 5,567.72 is: 8,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098.05 : 34,646.76 = 5,567.72 : x
  2. Step 2: Convert to fraction form
    23,098.05/34,646.76 = 5,567.72/x
  3. Step 3: Cross multiply
    23,098.05x = 34,646.76 × 5,567.72
  4. Step 4: Simplify right side
    23,098.05x = 192,903,285.35
  5. Step 5: Solve for x
    x = 192,903,285.35/23,098.05
  6. Step 6: Final answer
    x = 8,351.50

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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.