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Finding the Fourth Proportional to 12,632.68, 17,434.77 and 7,326.40

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Solution

The fourth proportional to 12,632.68, 17,434.77 and 7,326.40 is: 10,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.68 : 17,434.77 = 7,326.40 : x
  2. Step 2: Convert to fraction form
    12,632.68/17,434.77 = 7,326.40/x
  3. Step 3: Cross multiply
    12,632.68x = 17,434.77 × 7,326.40
  4. Step 4: Simplify right side
    12,632.68x = 127,734,098.93
  5. Step 5: Solve for x
    x = 127,734,098.93/12,632.68
  6. Step 6: Final answer
    x = 10,111.40

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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.