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Finding the Fourth Proportional to 12,522.57, 17,281.35 and 6,857.22

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Solution

The fourth proportional to 12,522.57, 17,281.35 and 6,857.22 is: 9,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.57 : 17,281.35 = 6,857.22 : x
  2. Step 2: Convert to fraction form
    12,522.57/17,281.35 = 6,857.22/x
  3. Step 3: Cross multiply
    12,522.57x = 17,281.35 × 6,857.22
  4. Step 4: Simplify right side
    12,522.57x = 118,502,018.85
  5. Step 5: Solve for x
    x = 118,502,018.85/12,522.57
  6. Step 6: Final answer
    x = 9,463.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.