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Finding the Fourth Proportional to 12,857.78, 19,264.64 and 7,018.48

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Solution

The fourth proportional to 12,857.78, 19,264.64 and 7,018.48 is: 10,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.78 : 19,264.64 = 7,018.48 : x
  2. Step 2: Convert to fraction form
    12,857.78/19,264.64 = 7,018.48/x
  3. Step 3: Cross multiply
    12,857.78x = 19,264.64 × 7,018.48
  4. Step 4: Simplify right side
    12,857.78x = 135,208,490.55
  5. Step 5: Solve for x
    x = 135,208,490.55/12,857.78
  6. Step 6: Final answer
    x = 10,515.69

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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.