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Finding the Fourth Proportional to 16,106.12, 22,223.32 and 9,731.40

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Solution

The fourth proportional to 16,106.12, 22,223.32 and 9,731.40 is: 13,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.12 : 22,223.32 = 9,731.40 : x
  2. Step 2: Convert to fraction form
    16,106.12/22,223.32 = 9,731.40/x
  3. Step 3: Cross multiply
    16,106.12x = 22,223.32 × 9,731.40
  4. Step 4: Simplify right side
    16,106.12x = 216,264,016.25
  5. Step 5: Solve for x
    x = 216,264,016.25/16,106.12
  6. Step 6: Final answer
    x = 13,427.44

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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.