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Finding the Fourth Proportional to 25,406.37, 38,110.64 and 7,875.81

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Solution

The fourth proportional to 25,406.37, 38,110.64 and 7,875.81 is: 11,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,406.37 : 38,110.64 = 7,875.81 : x
  2. Step 2: Convert to fraction form
    25,406.37/38,110.64 = 7,875.81/x
  3. Step 3: Cross multiply
    25,406.37x = 38,110.64 × 7,875.81
  4. Step 4: Simplify right side
    25,406.37x = 300,152,120.24
  5. Step 5: Solve for x
    x = 300,152,120.24/25,406.37
  6. Step 6: Final answer
    x = 11,814.05

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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.