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Finding the Fourth Proportional to 19,509.77, 29,265.87 and 7,821.47

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Solution

The fourth proportional to 19,509.77, 29,265.87 and 7,821.47 is: 11,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.77 : 29,265.87 = 7,821.47 : x
  2. Step 2: Convert to fraction form
    19,509.77/29,265.87 = 7,821.47/x
  3. Step 3: Cross multiply
    19,509.77x = 29,265.87 × 7,821.47
  4. Step 4: Simplify right side
    19,509.77x = 228,901,977.90
  5. Step 5: Solve for x
    x = 228,901,977.90/19,509.77
  6. Step 6: Final answer
    x = 11,732.69

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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.