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Finding the Fourth Proportional to 12,522.77, 17,281.63 and 6,857.52

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Solution

The fourth proportional to 12,522.77, 17,281.63 and 6,857.52 is: 9,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.77 : 17,281.63 = 6,857.52 : x
  2. Step 2: Convert to fraction form
    12,522.77/17,281.63 = 6,857.52/x
  3. Step 3: Cross multiply
    12,522.77x = 17,281.63 × 6,857.52
  4. Step 4: Simplify right side
    12,522.77x = 118,509,123.36
  5. Step 5: Solve for x
    x = 118,509,123.36/12,522.77
  6. Step 6: Final answer
    x = 9,463.49

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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.