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Finding the Fourth Proportional to 17,952.77, 24,771.06 and 10,398.64

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Solution

The fourth proportional to 17,952.77, 24,771.06 and 10,398.64 is: 14,347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,952.77 : 24,771.06 = 10,398.64 : x
  2. Step 2: Convert to fraction form
    17,952.77/24,771.06 = 10,398.64/x
  3. Step 3: Cross multiply
    17,952.77x = 24,771.06 × 10,398.64
  4. Step 4: Simplify right side
    17,952.77x = 257,585,335.36
  5. Step 5: Solve for x
    x = 257,585,335.36/17,952.77
  6. Step 6: Final answer
    x = 14,347.94

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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.