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Finding the Fourth Proportional to 29,502.63, 44,264.88 and 13,716.14

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Solution

The fourth proportional to 29,502.63, 44,264.88 and 13,716.14 is: 20,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,502.63 : 44,264.88 = 13,716.14 : x
  2. Step 2: Convert to fraction form
    29,502.63/44,264.88 = 13,716.14/x
  3. Step 3: Cross multiply
    29,502.63x = 44,264.88 × 13,716.14
  4. Step 4: Simplify right side
    29,502.63x = 607,143,069.84
  5. Step 5: Solve for x
    x = 607,143,069.84/29,502.63
  6. Step 6: Final answer
    x = 20,579.29

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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.