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Finding the Fourth Proportional to 17,956.84, 24,777.48 and 10,404.40

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Solution

The fourth proportional to 17,956.84, 24,777.48 and 10,404.40 is: 14,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,956.84 : 24,777.48 = 10,404.40 : x
  2. Step 2: Convert to fraction form
    17,956.84/24,777.48 = 10,404.40/x
  3. Step 3: Cross multiply
    17,956.84x = 24,777.48 × 10,404.40
  4. Step 4: Simplify right side
    17,956.84x = 257,794,812.91
  5. Step 5: Solve for x
    x = 257,794,812.91/17,956.84
  6. Step 6: Final answer
    x = 14,356.36

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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.