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Finding the Fourth Proportional to 25,875.36, 38,814.62 and 8,109.36

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Solution

The fourth proportional to 25,875.36, 38,814.62 and 8,109.36 is: 12,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,875.36 : 38,814.62 = 8,109.36 : x
  2. Step 2: Convert to fraction form
    25,875.36/38,814.62 = 8,109.36/x
  3. Step 3: Cross multiply
    25,875.36x = 38,814.62 × 8,109.36
  4. Step 4: Simplify right side
    25,875.36x = 314,761,686.30
  5. Step 5: Solve for x
    x = 314,761,686.30/25,875.36
  6. Step 6: Final answer
    x = 12,164.53

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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.