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Finding the Fourth Proportional to 17,700.60, 26,538.57 and 7,834.53

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Solution

The fourth proportional to 17,700.60, 26,538.57 and 7,834.53 is: 11,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700.60 : 26,538.57 = 7,834.53 : x
  2. Step 2: Convert to fraction form
    17,700.60/26,538.57 = 7,834.53/x
  3. Step 3: Cross multiply
    17,700.60x = 26,538.57 × 7,834.53
  4. Step 4: Simplify right side
    17,700.60x = 207,917,222.82
  5. Step 5: Solve for x
    x = 207,917,222.82/17,700.60
  6. Step 6: Final answer
    x = 11,746.34

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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.