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Finding the Fourth Proportional to 17,070.94, 25,597.16 and 7,700

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Solution

The fourth proportional to 17,070.94, 25,597.16 and 7,700 is: 11,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,070.94 : 25,597.16 = 7,700 : x
  2. Step 2: Convert to fraction form
    17,070.94/25,597.16 = 7,700/x
  3. Step 3: Cross multiply
    17,070.94x = 25,597.16 × 7,700
  4. Step 4: Simplify right side
    17,070.94x = 197,098,132
  5. Step 5: Solve for x
    x = 197,098,132/17,070.94
  6. Step 6: Final answer
    x = 11,545.83

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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.