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Finding the Fourth Proportional to 14,261.81, 19,681.99 and 8,294.13

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Solution

The fourth proportional to 14,261.81, 19,681.99 and 8,294.13 is: 11,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.81 : 19,681.99 = 8,294.13 : x
  2. Step 2: Convert to fraction form
    14,261.81/19,681.99 = 8,294.13/x
  3. Step 3: Cross multiply
    14,261.81x = 19,681.99 × 8,294.13
  4. Step 4: Simplify right side
    14,261.81x = 163,244,962.98
  5. Step 5: Solve for x
    x = 163,244,962.98/14,261.81
  6. Step 6: Final answer
    x = 11,446.30

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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.