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Finding the Fourth Proportional to 14,219.76, 21,341.04 and 6,429.24

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Solution

The fourth proportional to 14,219.76, 21,341.04 and 6,429.24 is: 9,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219.76 : 21,341.04 = 6,429.24 : x
  2. Step 2: Convert to fraction form
    14,219.76/21,341.04 = 6,429.24/x
  3. Step 3: Cross multiply
    14,219.76x = 21,341.04 × 6,429.24
  4. Step 4: Simplify right side
    14,219.76x = 137,206,668.01
  5. Step 5: Solve for x
    x = 137,206,668.01/14,219.76
  6. Step 6: Final answer
    x = 9,649.01

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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.