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Finding the Fourth Proportional to 14,881.92, 22,324.72 and 6,980.36

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Solution

The fourth proportional to 14,881.92, 22,324.72 and 6,980.36 is: 10,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,881.92 : 22,324.72 = 6,980.36 : x
  2. Step 2: Convert to fraction form
    14,881.92/22,324.72 = 6,980.36/x
  3. Step 3: Cross multiply
    14,881.92x = 22,324.72 × 6,980.36
  4. Step 4: Simplify right side
    14,881.92x = 155,834,582.50
  5. Step 5: Solve for x
    x = 155,834,582.50/14,881.92
  6. Step 6: Final answer
    x = 10,471.40

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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.