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Finding the Fourth Proportional to 25,496.41, 38,256 and 13,009.86

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Solution

The fourth proportional to 25,496.41, 38,256 and 13,009.86 is: 19,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,496.41 : 38,256 = 13,009.86 : x
  2. Step 2: Convert to fraction form
    25,496.41/38,256 = 13,009.86/x
  3. Step 3: Cross multiply
    25,496.41x = 38,256 × 13,009.86
  4. Step 4: Simplify right side
    25,496.41x = 497,705,204.16
  5. Step 5: Solve for x
    x = 497,705,204.16/25,496.41
  6. Step 6: Final answer
    x = 19,520.60

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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.