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Finding the Fourth Proportional to 14,463.27, 19,962.72 and 9,418.77

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Solution

The fourth proportional to 14,463.27, 19,962.72 and 9,418.77 is: 13,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.27 : 19,962.72 = 9,418.77 : x
  2. Step 2: Convert to fraction form
    14,463.27/19,962.72 = 9,418.77/x
  3. Step 3: Cross multiply
    14,463.27x = 19,962.72 × 9,418.77
  4. Step 4: Simplify right side
    14,463.27x = 188,024,268.25
  5. Step 5: Solve for x
    x = 188,024,268.25/14,463.27
  6. Step 6: Final answer
    x = 13,000.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.