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Finding the Fourth Proportional to 16,213.10, 22,376.86 and 9,140.18

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Solution

The fourth proportional to 16,213.10, 22,376.86 and 9,140.18 is: 12,615.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.10 : 22,376.86 = 9,140.18 : x
  2. Step 2: Convert to fraction form
    16,213.10/22,376.86 = 9,140.18/x
  3. Step 3: Cross multiply
    16,213.10x = 22,376.86 × 9,140.18
  4. Step 4: Simplify right side
    16,213.10x = 204,528,393.50
  5. Step 5: Solve for x
    x = 204,528,393.50/16,213.10
  6. Step 6: Final answer
    x = 12,615.01

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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.