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Finding the Fourth Proportional to 14,018.74, 19,345.62 and 7,645.38

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Solution

The fourth proportional to 14,018.74, 19,345.62 and 7,645.38 is: 10,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,018.74 : 19,345.62 = 7,645.38 : x
  2. Step 2: Convert to fraction form
    14,018.74/19,345.62 = 7,645.38/x
  3. Step 3: Cross multiply
    14,018.74x = 19,345.62 × 7,645.38
  4. Step 4: Simplify right side
    14,018.74x = 147,904,616.24
  5. Step 5: Solve for x
    x = 147,904,616.24/14,018.74
  6. Step 6: Final answer
    x = 10,550.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.