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Finding the Fourth Proportional to 14,424.66, 21,636.18 and 5,065.11

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Solution

The fourth proportional to 14,424.66, 21,636.18 and 5,065.11 is: 7,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.66 : 21,636.18 = 5,065.11 : x
  2. Step 2: Convert to fraction form
    14,424.66/21,636.18 = 5,065.11/x
  3. Step 3: Cross multiply
    14,424.66x = 21,636.18 × 5,065.11
  4. Step 4: Simplify right side
    14,424.66x = 109,589,631.68
  5. Step 5: Solve for x
    x = 109,589,631.68/14,424.66
  6. Step 6: Final answer
    x = 7,597.38

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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.