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Finding the Fourth Proportional to 17,767.50, 26,643.48 and 9,445.50

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Solution

The fourth proportional to 17,767.50, 26,643.48 and 9,445.50 is: 14,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.50 : 26,643.48 = 9,445.50 : x
  2. Step 2: Convert to fraction form
    17,767.50/26,643.48 = 9,445.50/x
  3. Step 3: Cross multiply
    17,767.50x = 26,643.48 × 9,445.50
  4. Step 4: Simplify right side
    17,767.50x = 251,660,990.34
  5. Step 5: Solve for x
    x = 251,660,990.34/17,767.50
  6. Step 6: Final answer
    x = 14,164.12

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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.