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Finding the Fourth Proportional to 17,065.83, 25,577.91 and 7,703.43

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Solution

The fourth proportional to 17,065.83, 25,577.91 and 7,703.43 is: 11,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065.83 : 25,577.91 = 7,703.43 : x
  2. Step 2: Convert to fraction form
    17,065.83/25,577.91 = 7,703.43/x
  3. Step 3: Cross multiply
    17,065.83x = 25,577.91 × 7,703.43
  4. Step 4: Simplify right side
    17,065.83x = 197,037,639.23
  5. Step 5: Solve for x
    x = 197,037,639.23/17,065.83
  6. Step 6: Final answer
    x = 11,545.74

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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.