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Finding the Fourth Proportional to 17,019.04, 25,519.92 and 7,780

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Solution

The fourth proportional to 17,019.04, 25,519.92 and 7,780 is: 11,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,019.04 : 25,519.92 = 7,780 : x
  2. Step 2: Convert to fraction form
    17,019.04/25,519.92 = 7,780/x
  3. Step 3: Cross multiply
    17,019.04x = 25,519.92 × 7,780
  4. Step 4: Simplify right side
    17,019.04x = 198,544,977.60
  5. Step 5: Solve for x
    x = 198,544,977.60/17,019.04
  6. Step 6: Final answer
    x = 11,666.05

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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.