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Finding the Fourth Proportional to 16,355.16, 22,569.84 and 9,185.14

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Solution

The fourth proportional to 16,355.16, 22,569.84 and 9,185.14 is: 12,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,355.16 : 22,569.84 = 9,185.14 : x
  2. Step 2: Convert to fraction form
    16,355.16/22,569.84 = 9,185.14/x
  3. Step 3: Cross multiply
    16,355.16x = 22,569.84 × 9,185.14
  4. Step 4: Simplify right side
    16,355.16x = 207,307,168.39
  5. Step 5: Solve for x
    x = 207,307,168.39/16,355.16
  6. Step 6: Final answer
    x = 12,675.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.