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Finding the Fourth Proportional to 23,117.32, 34,672.79 and 9,967.98

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Solution

The fourth proportional to 23,117.32, 34,672.79 and 9,967.98 is: 14,950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.32 : 34,672.79 = 9,967.98 : x
  2. Step 2: Convert to fraction form
    23,117.32/34,672.79 = 9,967.98/x
  3. Step 3: Cross multiply
    23,117.32x = 34,672.79 × 9,967.98
  4. Step 4: Simplify right side
    23,117.32x = 345,617,627.42
  5. Step 5: Solve for x
    x = 345,617,627.42/23,117.32
  6. Step 6: Final answer
    x = 14,950.59

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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.