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Finding the Fourth Proportional to 13,681.10, 20,463.33 and 8,403.14

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Solution

The fourth proportional to 13,681.10, 20,463.33 and 8,403.14 is: 12,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.10 : 20,463.33 = 8,403.14 : x
  2. Step 2: Convert to fraction form
    13,681.10/20,463.33 = 8,403.14/x
  3. Step 3: Cross multiply
    13,681.10x = 20,463.33 × 8,403.14
  4. Step 4: Simplify right side
    13,681.10x = 171,956,309.53
  5. Step 5: Solve for x
    x = 171,956,309.53/13,681.10
  6. Step 6: Final answer
    x = 12,568.89

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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.