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Finding the Fourth Proportional to 16,164.16, 22,308.62 and 9,091.95

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Solution

The fourth proportional to 16,164.16, 22,308.62 and 9,091.95 is: 12,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.16 : 22,308.62 = 9,091.95 : x
  2. Step 2: Convert to fraction form
    16,164.16/22,308.62 = 9,091.95/x
  3. Step 3: Cross multiply
    16,164.16x = 22,308.62 × 9,091.95
  4. Step 4: Simplify right side
    16,164.16x = 202,828,728.49
  5. Step 5: Solve for x
    x = 202,828,728.49/16,164.16
  6. Step 6: Final answer
    x = 12,548.05

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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.