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Finding the Fourth Proportional to 17,776, 26,664.12 and 6,089.32

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Solution

The fourth proportional to 17,776, 26,664.12 and 6,089.32 is: 9,134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776 : 26,664.12 = 6,089.32 : x
  2. Step 2: Convert to fraction form
    17,776/26,664.12 = 6,089.32/x
  3. Step 3: Cross multiply
    17,776x = 26,664.12 × 6,089.32
  4. Step 4: Simplify right side
    17,776x = 162,366,359.20
  5. Step 5: Solve for x
    x = 162,366,359.20/17,776
  6. Step 6: Final answer
    x = 9,134.02

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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.