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Finding the Fourth Proportional to 17,710.71, 26,566.13 and 6,617.26

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Solution

The fourth proportional to 17,710.71, 26,566.13 and 6,617.26 is: 9,925.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.71 : 26,566.13 = 6,617.26 : x
  2. Step 2: Convert to fraction form
    17,710.71/26,566.13 = 6,617.26/x
  3. Step 3: Cross multiply
    17,710.71x = 26,566.13 × 6,617.26
  4. Step 4: Simplify right side
    17,710.71x = 175,794,989.40
  5. Step 5: Solve for x
    x = 175,794,989.40/17,710.71
  6. Step 6: Final answer
    x = 9,925.91

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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.