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Finding the Fourth Proportional to 17,956.77, 24,780.78 and 10,403.12

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Solution

The fourth proportional to 17,956.77, 24,780.78 and 10,403.12 is: 14,356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,956.77 : 24,780.78 = 10,403.12 : x
  2. Step 2: Convert to fraction form
    17,956.77/24,780.78 = 10,403.12/x
  3. Step 3: Cross multiply
    17,956.77x = 24,780.78 × 10,403.12
  4. Step 4: Simplify right side
    17,956.77x = 257,797,428.03
  5. Step 5: Solve for x
    x = 257,797,428.03/17,956.77
  6. Step 6: Final answer
    x = 14,356.56

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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.