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Finding the Fourth Proportional to 17,001.68, 23,455.74 and 12,536

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Solution

The fourth proportional to 17,001.68, 23,455.74 and 12,536 is: 17,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,001.68 : 23,455.74 = 12,536 : x
  2. Step 2: Convert to fraction form
    17,001.68/23,455.74 = 12,536/x
  3. Step 3: Cross multiply
    17,001.68x = 23,455.74 × 12,536
  4. Step 4: Simplify right side
    17,001.68x = 294,041,156.64
  5. Step 5: Solve for x
    x = 294,041,156.64/17,001.68
  6. Step 6: Final answer
    x = 17,294.83

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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.