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Finding the Fourth Proportional to 14,442, 21,662.64 and 4,581.84

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Solution

The fourth proportional to 14,442, 21,662.64 and 4,581.84 is: 6,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442 : 21,662.64 = 4,581.84 : x
  2. Step 2: Convert to fraction form
    14,442/21,662.64 = 4,581.84/x
  3. Step 3: Cross multiply
    14,442x = 21,662.64 × 4,581.84
  4. Step 4: Simplify right side
    14,442x = 99,254,750.46
  5. Step 5: Solve for x
    x = 99,254,750.46/14,442
  6. Step 6: Final answer
    x = 6,872.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.