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Finding the Fourth Proportional to 16,642.62, 22,965.75 and 9,569.34

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Solution

The fourth proportional to 16,642.62, 22,965.75 and 9,569.34 is: 13,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.62 : 22,965.75 = 9,569.34 : x
  2. Step 2: Convert to fraction form
    16,642.62/22,965.75 = 9,569.34/x
  3. Step 3: Cross multiply
    16,642.62x = 22,965.75 × 9,569.34
  4. Step 4: Simplify right side
    16,642.62x = 219,767,070.11
  5. Step 5: Solve for x
    x = 219,767,070.11/16,642.62
  6. Step 6: Final answer
    x = 13,205.08

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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.