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Finding the Fourth Proportional to 12,718.41, 17,552.45 and 7,054.93

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Solution

The fourth proportional to 12,718.41, 17,552.45 and 7,054.93 is: 9,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.41 : 17,552.45 = 7,054.93 : x
  2. Step 2: Convert to fraction form
    12,718.41/17,552.45 = 7,054.93/x
  3. Step 3: Cross multiply
    12,718.41x = 17,552.45 × 7,054.93
  4. Step 4: Simplify right side
    12,718.41x = 123,831,306.08
  5. Step 5: Solve for x
    x = 123,831,306.08/12,718.41
  6. Step 6: Final answer
    x = 9,736.38

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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.