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Finding the Fourth Proportional to 26,354.16, 39,529.08 and 7,886.16

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Solution

The fourth proportional to 26,354.16, 39,529.08 and 7,886.16 is: 11,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,354.16 : 39,529.08 = 7,886.16 : x
  2. Step 2: Convert to fraction form
    26,354.16/39,529.08 = 7,886.16/x
  3. Step 3: Cross multiply
    26,354.16x = 39,529.08 × 7,886.16
  4. Step 4: Simplify right side
    26,354.16x = 311,732,649.53
  5. Step 5: Solve for x
    x = 311,732,649.53/26,354.16
  6. Step 6: Final answer
    x = 11,828.59

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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.