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Finding the Fourth Proportional to 19,824.23, 29,728.64 and 9,956.61

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Solution

The fourth proportional to 19,824.23, 29,728.64 and 9,956.61 is: 14,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.23 : 29,728.64 = 9,956.61 : x
  2. Step 2: Convert to fraction form
    19,824.23/29,728.64 = 9,956.61/x
  3. Step 3: Cross multiply
    19,824.23x = 29,728.64 × 9,956.61
  4. Step 4: Simplify right side
    19,824.23x = 295,996,424.53
  5. Step 5: Solve for x
    x = 295,996,424.53/19,824.23
  6. Step 6: Final answer
    x = 14,931.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.