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Finding the Fourth Proportional to 16,514.71, 22,790.29 and 9,441.28

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Solution

The fourth proportional to 16,514.71, 22,790.29 and 9,441.28 is: 13,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.71 : 22,790.29 = 9,441.28 : x
  2. Step 2: Convert to fraction form
    16,514.71/22,790.29 = 9,441.28/x
  3. Step 3: Cross multiply
    16,514.71x = 22,790.29 × 9,441.28
  4. Step 4: Simplify right side
    16,514.71x = 215,169,509.17
  5. Step 5: Solve for x
    x = 215,169,509.17/16,514.71
  6. Step 6: Final answer
    x = 13,028.96

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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.