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Finding the Fourth Proportional to 17,703.60, 26,543.07 and 7,837.53

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Solution

The fourth proportional to 17,703.60, 26,543.07 and 7,837.53 is: 11,750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,703.60 : 26,543.07 = 7,837.53 : x
  2. Step 2: Convert to fraction form
    17,703.60/26,543.07 = 7,837.53/x
  3. Step 3: Cross multiply
    17,703.60x = 26,543.07 × 7,837.53
  4. Step 4: Simplify right side
    17,703.60x = 208,032,107.42
  5. Step 5: Solve for x
    x = 208,032,107.42/17,703.60
  6. Step 6: Final answer
    x = 11,750.84

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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.