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Finding the Fourth Proportional to 14,220, 19,614.24 and 9,182.88

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Solution

The fourth proportional to 14,220, 19,614.24 and 9,182.88 is: 12,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,220 : 19,614.24 = 9,182.88 : x
  2. Step 2: Convert to fraction form
    14,220/19,614.24 = 9,182.88/x
  3. Step 3: Cross multiply
    14,220x = 19,614.24 × 9,182.88
  4. Step 4: Simplify right side
    14,220x = 180,115,212.21
  5. Step 5: Solve for x
    x = 180,115,212.21/14,220
  6. Step 6: Final answer
    x = 12,666.33

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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.