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Finding the Fourth Proportional to 13,250.78, 19,857.54 and 10,465.22

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Solution

The fourth proportional to 13,250.78, 19,857.54 and 10,465.22 is: 15,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,250.78 : 19,857.54 = 10,465.22 : x
  2. Step 2: Convert to fraction form
    13,250.78/19,857.54 = 10,465.22/x
  3. Step 3: Cross multiply
    13,250.78x = 19,857.54 × 10,465.22
  4. Step 4: Simplify right side
    13,250.78x = 207,813,524.76
  5. Step 5: Solve for x
    x = 207,813,524.76/13,250.78
  6. Step 6: Final answer
    x = 15,683.12

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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.