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Finding the Fourth Proportional to 23,296.50, 34,950.22 and 6,656.77

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Solution

The fourth proportional to 23,296.50, 34,950.22 and 6,656.77 is: 9,986.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.50 : 34,950.22 = 6,656.77 : x
  2. Step 2: Convert to fraction form
    23,296.50/34,950.22 = 6,656.77/x
  3. Step 3: Cross multiply
    23,296.50x = 34,950.22 × 6,656.77
  4. Step 4: Simplify right side
    23,296.50x = 232,655,575.99
  5. Step 5: Solve for x
    x = 232,655,575.99/23,296.50
  6. Step 6: Final answer
    x = 9,986.72

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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.