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Finding the Fourth Proportional to 16,598.90, 22,906.04 and 9,045.38

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Solution

The fourth proportional to 16,598.90, 22,906.04 and 9,045.38 is: 12,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598.90 : 22,906.04 = 9,045.38 : x
  2. Step 2: Convert to fraction form
    16,598.90/22,906.04 = 9,045.38/x
  3. Step 3: Cross multiply
    16,598.90x = 22,906.04 × 9,045.38
  4. Step 4: Simplify right side
    16,598.90x = 207,193,836.10
  5. Step 5: Solve for x
    x = 207,193,836.10/16,598.90
  6. Step 6: Final answer
    x = 12,482.38

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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.