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Finding the Fourth Proportional to 22,709.46, 34,069.65 and 7,127.09

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Solution

The fourth proportional to 22,709.46, 34,069.65 and 7,127.09 is: 10,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.46 : 34,069.65 = 7,127.09 : x
  2. Step 2: Convert to fraction form
    22,709.46/34,069.65 = 7,127.09/x
  3. Step 3: Cross multiply
    22,709.46x = 34,069.65 × 7,127.09
  4. Step 4: Simplify right side
    22,709.46x = 242,817,461.82
  5. Step 5: Solve for x
    x = 242,817,461.82/22,709.46
  6. Step 6: Final answer
    x = 10,692.35

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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.