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Finding the Fourth Proportional to 16,244.15, 22,417.16 and 9,169.20

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Solution

The fourth proportional to 16,244.15, 22,417.16 and 9,169.20 is: 12,653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,244.15 : 22,417.16 = 9,169.20 : x
  2. Step 2: Convert to fraction form
    16,244.15/22,417.16 = 9,169.20/x
  3. Step 3: Cross multiply
    16,244.15x = 22,417.16 × 9,169.20
  4. Step 4: Simplify right side
    16,244.15x = 205,547,377.63
  5. Step 5: Solve for x
    x = 205,547,377.63/16,244.15
  6. Step 6: Final answer
    x = 12,653.63

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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.