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Finding the Fourth Proportional to 24,294.51, 33,514.97 and 14,216.77

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Solution

The fourth proportional to 24,294.51, 33,514.97 and 14,216.77 is: 19,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294.51 : 33,514.97 = 14,216.77 : x
  2. Step 2: Convert to fraction form
    24,294.51/33,514.97 = 14,216.77/x
  3. Step 3: Cross multiply
    24,294.51x = 33,514.97 × 14,216.77
  4. Step 4: Simplify right side
    24,294.51x = 476,474,465.18
  5. Step 5: Solve for x
    x = 476,474,465.18/24,294.51
  6. Step 6: Final answer
    x = 19,612.44

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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.