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Finding the Fourth Proportional to 14,896, 22,344.02 and 6,345.24

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Solution

The fourth proportional to 14,896, 22,344.02 and 6,345.24 is: 9,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896 : 22,344.02 = 6,345.24 : x
  2. Step 2: Convert to fraction form
    14,896/22,344.02 = 6,345.24/x
  3. Step 3: Cross multiply
    14,896x = 22,344.02 × 6,345.24
  4. Step 4: Simplify right side
    14,896x = 141,778,169.46
  5. Step 5: Solve for x
    x = 141,778,169.46/14,896
  6. Step 6: Final answer
    x = 9,517.87

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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.