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Finding the Fourth Proportional to 23,875.40, 35,813.84 and 11,396.76

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Solution

The fourth proportional to 23,875.40, 35,813.84 and 11,396.76 is: 17,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.40 : 35,813.84 = 11,396.76 : x
  2. Step 2: Convert to fraction form
    23,875.40/35,813.84 = 11,396.76/x
  3. Step 3: Cross multiply
    23,875.40x = 35,813.84 × 11,396.76
  4. Step 4: Simplify right side
    23,875.40x = 408,161,739.16
  5. Step 5: Solve for x
    x = 408,161,739.16/23,875.40
  6. Step 6: Final answer
    x = 17,095.49

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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.