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Finding the Fourth Proportional to 26,410, 39,565.56 and 13,246.96

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Solution

The fourth proportional to 26,410, 39,565.56 and 13,246.96 is: 19,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,410 : 39,565.56 = 13,246.96 : x
  2. Step 2: Convert to fraction form
    26,410/39,565.56 = 13,246.96/x
  3. Step 3: Cross multiply
    26,410x = 39,565.56 × 13,246.96
  4. Step 4: Simplify right side
    26,410x = 524,123,390.70
  5. Step 5: Solve for x
    x = 524,123,390.70/26,410
  6. Step 6: Final answer
    x = 19,845.64

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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.