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Finding the Fourth Proportional to 16,299.32, 22,492.40 and 9,225.90

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Solution

The fourth proportional to 16,299.32, 22,492.40 and 9,225.90 is: 12,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.32 : 22,492.40 = 9,225.90 : x
  2. Step 2: Convert to fraction form
    16,299.32/22,492.40 = 9,225.90/x
  3. Step 3: Cross multiply
    16,299.32x = 22,492.40 × 9,225.90
  4. Step 4: Simplify right side
    16,299.32x = 207,512,633.16
  5. Step 5: Solve for x
    x = 207,512,633.16/16,299.32
  6. Step 6: Final answer
    x = 12,731.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.