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Finding the Fourth Proportional to 14,476.23, 21,681.54 and 9,211.23

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Solution

The fourth proportional to 14,476.23, 21,681.54 and 9,211.23 is: 13,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.23 : 21,681.54 = 9,211.23 : x
  2. Step 2: Convert to fraction form
    14,476.23/21,681.54 = 9,211.23/x
  3. Step 3: Cross multiply
    14,476.23x = 21,681.54 × 9,211.23
  4. Step 4: Simplify right side
    14,476.23x = 199,713,651.69
  5. Step 5: Solve for x
    x = 199,713,651.69/14,476.23
  6. Step 6: Final answer
    x = 13,795.97

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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.