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Finding the Fourth Proportional to 16,294.77, 24,422.99 and 6,931.98

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Solution

The fourth proportional to 16,294.77, 24,422.99 and 6,931.98 is: 10,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.77 : 24,422.99 = 6,931.98 : x
  2. Step 2: Convert to fraction form
    16,294.77/24,422.99 = 6,931.98/x
  3. Step 3: Cross multiply
    16,294.77x = 24,422.99 × 6,931.98
  4. Step 4: Simplify right side
    16,294.77x = 169,299,643.56
  5. Step 5: Solve for x
    x = 169,299,643.56/16,294.77
  6. Step 6: Final answer
    x = 10,389.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.