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Finding the Fourth Proportional to 17,875.50, 26,825.54 and 6,188.74

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Solution

The fourth proportional to 17,875.50, 26,825.54 and 6,188.74 is: 9,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.50 : 26,825.54 = 6,188.74 : x
  2. Step 2: Convert to fraction form
    17,875.50/26,825.54 = 6,188.74/x
  3. Step 3: Cross multiply
    17,875.50x = 26,825.54 × 6,188.74
  4. Step 4: Simplify right side
    17,875.50x = 166,016,292.42
  5. Step 5: Solve for x
    x = 166,016,292.42/17,875.50
  6. Step 6: Final answer
    x = 9,287.36

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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.