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Finding the Fourth Proportional to 14,192.20, 21,253.74 and 9,561.16

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Solution

The fourth proportional to 14,192.20, 21,253.74 and 9,561.16 is: 14,318.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.20 : 21,253.74 = 9,561.16 : x
  2. Step 2: Convert to fraction form
    14,192.20/21,253.74 = 9,561.16/x
  3. Step 3: Cross multiply
    14,192.20x = 21,253.74 × 9,561.16
  4. Step 4: Simplify right side
    14,192.20x = 203,210,408.74
  5. Step 5: Solve for x
    x = 203,210,408.74/14,192.20
  6. Step 6: Final answer
    x = 14,318.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.