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Finding the Fourth Proportional to 12,143.88, 16,758.81 and 7,363.98

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Solution

The fourth proportional to 12,143.88, 16,758.81 and 7,363.98 is: 10,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.88 : 16,758.81 = 7,363.98 : x
  2. Step 2: Convert to fraction form
    12,143.88/16,758.81 = 7,363.98/x
  3. Step 3: Cross multiply
    12,143.88x = 16,758.81 × 7,363.98
  4. Step 4: Simplify right side
    12,143.88x = 123,411,541.66
  5. Step 5: Solve for x
    x = 123,411,541.66/12,143.88
  6. Step 6: Final answer
    x = 10,162.45

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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.