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Finding the Fourth Proportional to 29,758.66, 44,616.10 and 14,187.22

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Solution

The fourth proportional to 29,758.66, 44,616.10 and 14,187.22 is: 21,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,758.66 : 44,616.10 = 14,187.22 : x
  2. Step 2: Convert to fraction form
    29,758.66/44,616.10 = 14,187.22/x
  3. Step 3: Cross multiply
    29,758.66x = 44,616.10 × 14,187.22
  4. Step 4: Simplify right side
    29,758.66x = 632,978,426.24
  5. Step 5: Solve for x
    x = 632,978,426.24/29,758.66
  6. Step 6: Final answer
    x = 21,270.39

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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.