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Finding the Fourth Proportional to 22,514.86, 33,776.40 and 11,276.08

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Solution

The fourth proportional to 22,514.86, 33,776.40 and 11,276.08 is: 16,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.86 : 33,776.40 = 11,276.08 : x
  2. Step 2: Convert to fraction form
    22,514.86/33,776.40 = 11,276.08/x
  3. Step 3: Cross multiply
    22,514.86x = 33,776.40 × 11,276.08
  4. Step 4: Simplify right side
    22,514.86x = 380,865,388.51
  5. Step 5: Solve for x
    x = 380,865,388.51/22,514.86
  6. Step 6: Final answer
    x = 16,916.18

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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.