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Finding the Fourth Proportional to 16,133.10, 22,264.29 and 9,417.66

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Solution

The fourth proportional to 16,133.10, 22,264.29 and 9,417.66 is: 12,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.10 : 22,264.29 = 9,417.66 : x
  2. Step 2: Convert to fraction form
    16,133.10/22,264.29 = 9,417.66/x
  3. Step 3: Cross multiply
    16,133.10x = 22,264.29 × 9,417.66
  4. Step 4: Simplify right side
    16,133.10x = 209,677,513.36
  5. Step 5: Solve for x
    x = 209,677,513.36/16,133.10
  6. Step 6: Final answer
    x = 12,996.73

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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.