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Finding the Fourth Proportional to 22,889.84, 34,311.14 and 9,570.63

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Solution

The fourth proportional to 22,889.84, 34,311.14 and 9,570.63 is: 14,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,889.84 : 34,311.14 = 9,570.63 : x
  2. Step 2: Convert to fraction form
    22,889.84/34,311.14 = 9,570.63/x
  3. Step 3: Cross multiply
    22,889.84x = 34,311.14 × 9,570.63
  4. Step 4: Simplify right side
    22,889.84x = 328,379,299.86
  5. Step 5: Solve for x
    x = 328,379,299.86/22,889.84
  6. Step 6: Final answer
    x = 14,346.07

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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.