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Finding the Fourth Proportional to 17,332, 26,000.70 and 5,642.46

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Solution

The fourth proportional to 17,332, 26,000.70 and 5,642.46 is: 8,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,332 : 26,000.70 = 5,642.46 : x
  2. Step 2: Convert to fraction form
    17,332/26,000.70 = 5,642.46/x
  3. Step 3: Cross multiply
    17,332x = 26,000.70 × 5,642.46
  4. Step 4: Simplify right side
    17,332x = 146,707,909.72
  5. Step 5: Solve for x
    x = 146,707,909.72/17,332
  6. Step 6: Final answer
    x = 8,464.57

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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.