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Finding the Fourth Proportional to 16,133.14, 22,264.93 and 9,417.33

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Solution

The fourth proportional to 16,133.14, 22,264.93 and 9,417.33 is: 12,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.14 : 22,264.93 = 9,417.33 : x
  2. Step 2: Convert to fraction form
    16,133.14/22,264.93 = 9,417.33/x
  3. Step 3: Cross multiply
    16,133.14x = 22,264.93 × 9,417.33
  4. Step 4: Simplify right side
    16,133.14x = 209,676,152.04
  5. Step 5: Solve for x
    x = 209,676,152.04/16,133.14
  6. Step 6: Final answer
    x = 12,996.61

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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.