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Finding the Fourth Proportional to 14,581.98, 20,123.06 and 8,294.40

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Solution

The fourth proportional to 14,581.98, 20,123.06 and 8,294.40 is: 11,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,581.98 : 20,123.06 = 8,294.40 : x
  2. Step 2: Convert to fraction form
    14,581.98/20,123.06 = 8,294.40/x
  3. Step 3: Cross multiply
    14,581.98x = 20,123.06 × 8,294.40
  4. Step 4: Simplify right side
    14,581.98x = 166,908,667.39
  5. Step 5: Solve for x
    x = 166,908,667.39/14,581.98
  6. Step 6: Final answer
    x = 11,446.23

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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.