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Finding the Fourth Proportional to 14,484.92, 21,722.76 and 7,464.02

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Solution

The fourth proportional to 14,484.92, 21,722.76 and 7,464.02 is: 11,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,484.92 : 21,722.76 = 7,464.02 : x
  2. Step 2: Convert to fraction form
    14,484.92/21,722.76 = 7,464.02/x
  3. Step 3: Cross multiply
    14,484.92x = 21,722.76 × 7,464.02
  4. Step 4: Simplify right side
    14,484.92x = 162,139,006.48
  5. Step 5: Solve for x
    x = 162,139,006.48/14,484.92
  6. Step 6: Final answer
    x = 11,193.65

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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.