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Finding the Fourth Proportional to 14,018.52, 19,345.72 and 7,731

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Solution

The fourth proportional to 14,018.52, 19,345.72 and 7,731 is: 10,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,018.52 : 19,345.72 = 7,731 : x
  2. Step 2: Convert to fraction form
    14,018.52/19,345.72 = 7,731/x
  3. Step 3: Cross multiply
    14,018.52x = 19,345.72 × 7,731
  4. Step 4: Simplify right side
    14,018.52x = 149,561,761.32
  5. Step 5: Solve for x
    x = 149,561,761.32/14,018.52
  6. Step 6: Final answer
    x = 10,668.87

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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.