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Finding the Fourth Proportional to 14,785, 22,178.44 and 6,015.12

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Solution

The fourth proportional to 14,785, 22,178.44 and 6,015.12 is: 9,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785 : 22,178.44 = 6,015.12 : x
  2. Step 2: Convert to fraction form
    14,785/22,178.44 = 6,015.12/x
  3. Step 3: Cross multiply
    14,785x = 22,178.44 × 6,015.12
  4. Step 4: Simplify right side
    14,785x = 133,405,978.01
  5. Step 5: Solve for x
    x = 133,405,978.01/14,785
  6. Step 6: Final answer
    x = 9,023.06

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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.