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Finding the Fourth Proportional to 14,649.59, 21,930.65 and 9,974.27

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Solution

The fourth proportional to 14,649.59, 21,930.65 and 9,974.27 is: 14,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.59 : 21,930.65 = 9,974.27 : x
  2. Step 2: Convert to fraction form
    14,649.59/21,930.65 = 9,974.27/x
  3. Step 3: Cross multiply
    14,649.59x = 21,930.65 × 9,974.27
  4. Step 4: Simplify right side
    14,649.59x = 218,742,174.50
  5. Step 5: Solve for x
    x = 218,742,174.50/14,649.59
  6. Step 6: Final answer
    x = 14,931.62

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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.