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Finding the Fourth Proportional to 17,359, 26,033.10 and 6,264.24

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Solution

The fourth proportional to 17,359, 26,033.10 and 6,264.24 is: 9,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,359 : 26,033.10 = 6,264.24 : x
  2. Step 2: Convert to fraction form
    17,359/26,033.10 = 6,264.24/x
  3. Step 3: Cross multiply
    17,359x = 26,033.10 × 6,264.24
  4. Step 4: Simplify right side
    17,359x = 163,077,586.34
  5. Step 5: Solve for x
    x = 163,077,586.34/17,359
  6. Step 6: Final answer
    x = 9,394.41

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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.