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Finding the Fourth Proportional to 12,522.78, 17,283.70 and 7,146

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Solution

The fourth proportional to 12,522.78, 17,283.70 and 7,146 is: 9,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.78 : 17,283.70 = 7,146 : x
  2. Step 2: Convert to fraction form
    12,522.78/17,283.70 = 7,146/x
  3. Step 3: Cross multiply
    12,522.78x = 17,283.70 × 7,146
  4. Step 4: Simplify right side
    12,522.78x = 123,509,320.20
  5. Step 5: Solve for x
    x = 123,509,320.20/12,522.78
  6. Step 6: Final answer
    x = 9,862.77

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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.