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Finding the Fourth Proportional to 26,398.56, 39,602.22 and 9,758.64

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Solution

The fourth proportional to 26,398.56, 39,602.22 and 9,758.64 is: 14,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,398.56 : 39,602.22 = 9,758.64 : x
  2. Step 2: Convert to fraction form
    26,398.56/39,602.22 = 9,758.64/x
  3. Step 3: Cross multiply
    26,398.56x = 39,602.22 × 9,758.64
  4. Step 4: Simplify right side
    26,398.56x = 386,463,808.18
  5. Step 5: Solve for x
    x = 386,463,808.18/26,398.56
  6. Step 6: Final answer
    x = 14,639.58

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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.