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Finding the Fourth Proportional to 16,422.19, 22,666.67 and 9,352.78

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Solution

The fourth proportional to 16,422.19, 22,666.67 and 9,352.78 is: 12,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.19 : 22,666.67 = 9,352.78 : x
  2. Step 2: Convert to fraction form
    16,422.19/22,666.67 = 9,352.78/x
  3. Step 3: Cross multiply
    16,422.19x = 22,666.67 × 9,352.78
  4. Step 4: Simplify right side
    16,422.19x = 211,996,309.48
  5. Step 5: Solve for x
    x = 211,996,309.48/16,422.19
  6. Step 6: Final answer
    x = 12,909.14

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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.