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Finding the Fourth Proportional to 23,645.71, 35,459.34 and 10,322.78

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Solution

The fourth proportional to 23,645.71, 35,459.34 and 10,322.78 is: 15,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645.71 : 35,459.34 = 10,322.78 : x
  2. Step 2: Convert to fraction form
    23,645.71/35,459.34 = 10,322.78/x
  3. Step 3: Cross multiply
    23,645.71x = 35,459.34 × 10,322.78
  4. Step 4: Simplify right side
    23,645.71x = 366,038,940.80
  5. Step 5: Solve for x
    x = 366,038,940.80/23,645.71
  6. Step 6: Final answer
    x = 15,480.14

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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.