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Finding the Fourth Proportional to 14,041.28, 21,061.86 and 3,653

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Solution

The fourth proportional to 14,041.28, 21,061.86 and 3,653 is: 5,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.28 : 21,061.86 = 3,653 : x
  2. Step 2: Convert to fraction form
    14,041.28/21,061.86 = 3,653/x
  3. Step 3: Cross multiply
    14,041.28x = 21,061.86 × 3,653
  4. Step 4: Simplify right side
    14,041.28x = 76,938,974.58
  5. Step 5: Solve for x
    x = 76,938,974.58/14,041.28
  6. Step 6: Final answer
    x = 5,479.48

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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.