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Finding the Fourth Proportional to 17,677.61, 24,398.81 and 11,213.07

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Solution

The fourth proportional to 17,677.61, 24,398.81 and 11,213.07 is: 15,476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.61 : 24,398.81 = 11,213.07 : x
  2. Step 2: Convert to fraction form
    17,677.61/24,398.81 = 11,213.07/x
  3. Step 3: Cross multiply
    17,677.61x = 24,398.81 × 11,213.07
  4. Step 4: Simplify right side
    17,677.61x = 273,585,386.39
  5. Step 5: Solve for x
    x = 273,585,386.39/17,677.61
  6. Step 6: Final answer
    x = 15,476.38

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1.5x scale

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.