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Finding the Fourth Proportional to 16,598.46, 22,904.56 and 9,523.38

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Solution

The fourth proportional to 16,598.46, 22,904.56 and 9,523.38 is: 13,141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598.46 : 22,904.56 = 9,523.38 : x
  2. Step 2: Convert to fraction form
    16,598.46/22,904.56 = 9,523.38/x
  3. Step 3: Cross multiply
    16,598.46x = 22,904.56 × 9,523.38
  4. Step 4: Simplify right side
    16,598.46x = 218,128,828.61
  5. Step 5: Solve for x
    x = 218,128,828.61/16,598.46
  6. Step 6: Final answer
    x = 13,141.51

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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.