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Finding the Fourth Proportional to 26,509.12, 39,753.84 and 7,784

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Solution

The fourth proportional to 26,509.12, 39,753.84 and 7,784 is: 11,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.12 : 39,753.84 = 7,784 : x
  2. Step 2: Convert to fraction form
    26,509.12/39,753.84 = 7,784/x
  3. Step 3: Cross multiply
    26,509.12x = 39,753.84 × 7,784
  4. Step 4: Simplify right side
    26,509.12x = 309,443,890.56
  5. Step 5: Solve for x
    x = 309,443,890.56/26,509.12
  6. Step 6: Final answer
    x = 11,673.11

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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.