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Finding the Fourth Proportional to 25,607.25, 38,415.20 and 10,823.13

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Solution

The fourth proportional to 25,607.25, 38,415.20 and 10,823.13 is: 16,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,607.25 : 38,415.20 = 10,823.13 : x
  2. Step 2: Convert to fraction form
    25,607.25/38,415.20 = 10,823.13/x
  3. Step 3: Cross multiply
    25,607.25x = 38,415.20 × 10,823.13
  4. Step 4: Simplify right side
    25,607.25x = 415,772,649.46
  5. Step 5: Solve for x
    x = 415,772,649.46/25,607.25
  6. Step 6: Final answer
    x = 16,236.52

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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.