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Finding the Fourth Proportional to 16,443.81, 24,614.75 and 13,297.57

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Solution

The fourth proportional to 16,443.81, 24,614.75 and 13,297.57 is: 19,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443.81 : 24,614.75 = 13,297.57 : x
  2. Step 2: Convert to fraction form
    16,443.81/24,614.75 = 13,297.57/x
  3. Step 3: Cross multiply
    16,443.81x = 24,614.75 × 13,297.57
  4. Step 4: Simplify right side
    16,443.81x = 327,316,332.86
  5. Step 5: Solve for x
    x = 327,316,332.86/16,443.81
  6. Step 6: Final answer
    x = 19,905.14

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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.