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Finding the Fourth Proportional to 16,643.13, 22,967.51 and 9,191.13

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Solution

The fourth proportional to 16,643.13, 22,967.51 and 9,191.13 is: 12,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.13 : 22,967.51 = 9,191.13 : x
  2. Step 2: Convert to fraction form
    16,643.13/22,967.51 = 9,191.13/x
  3. Step 3: Cross multiply
    16,643.13x = 22,967.51 × 9,191.13
  4. Step 4: Simplify right side
    16,643.13x = 211,097,370.19
  5. Step 5: Solve for x
    x = 211,097,370.19/16,643.13
  6. Step 6: Final answer
    x = 12,683.75

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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.