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Finding the Fourth Proportional to 17,700.48, 26,538.40 and 7,834.36

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Solution

The fourth proportional to 17,700.48, 26,538.40 and 7,834.36 is: 11,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700.48 : 26,538.40 = 7,834.36 : x
  2. Step 2: Convert to fraction form
    17,700.48/26,538.40 = 7,834.36/x
  3. Step 3: Cross multiply
    17,700.48x = 26,538.40 × 7,834.36
  4. Step 4: Simplify right side
    17,700.48x = 207,911,379.42
  5. Step 5: Solve for x
    x = 207,911,379.42/17,700.48
  6. Step 6: Final answer
    x = 11,746.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.