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Finding the Fourth Proportional to 16,656.56, 22,975.16 and 10,678.76

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Solution

The fourth proportional to 16,656.56, 22,975.16 and 10,678.76 is: 14,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,656.56 : 22,975.16 = 10,678.76 : x
  2. Step 2: Convert to fraction form
    16,656.56/22,975.16 = 10,678.76/x
  3. Step 3: Cross multiply
    16,656.56x = 22,975.16 × 10,678.76
  4. Step 4: Simplify right side
    16,656.56x = 245,346,219.60
  5. Step 5: Solve for x
    x = 245,346,219.60/16,656.56
  6. Step 6: Final answer
    x = 14,729.71

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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.