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Finding the Fourth Proportional to 16,214.66, 22,376.98 and 9,141.08

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Solution

The fourth proportional to 16,214.66, 22,376.98 and 9,141.08 is: 12,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.66 : 22,376.98 = 9,141.08 : x
  2. Step 2: Convert to fraction form
    16,214.66/22,376.98 = 9,141.08/x
  3. Step 3: Cross multiply
    16,214.66x = 22,376.98 × 9,141.08
  4. Step 4: Simplify right side
    16,214.66x = 204,549,764.34
  5. Step 5: Solve for x
    x = 204,549,764.34/16,214.66
  6. Step 6: Final answer
    x = 12,615.11

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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.