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Finding the Fourth Proportional to 15,983.66, 23,956.02 and 11,305.01

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Solution

The fourth proportional to 15,983.66, 23,956.02 and 11,305.01 is: 16,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,983.66 : 23,956.02 = 11,305.01 : x
  2. Step 2: Convert to fraction form
    15,983.66/23,956.02 = 11,305.01/x
  3. Step 3: Cross multiply
    15,983.66x = 23,956.02 × 11,305.01
  4. Step 4: Simplify right side
    15,983.66x = 270,822,925.88
  5. Step 5: Solve for x
    x = 270,822,925.88/15,983.66
  6. Step 6: Final answer
    x = 16,943.74

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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.