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Finding the Fourth Proportional to 14,214.96, 19,610.91 and 9,437.22

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Solution

The fourth proportional to 14,214.96, 19,610.91 and 9,437.22 is: 13,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.96 : 19,610.91 = 9,437.22 : x
  2. Step 2: Convert to fraction form
    14,214.96/19,610.91 = 9,437.22/x
  3. Step 3: Cross multiply
    14,214.96x = 19,610.91 × 9,437.22
  4. Step 4: Simplify right side
    14,214.96x = 185,072,472.07
  5. Step 5: Solve for x
    x = 185,072,472.07/14,214.96
  6. Step 6: Final answer
    x = 13,019.56

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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.