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Finding the Fourth Proportional to 15,946, 23,911.03 and 9,284.69

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Solution

The fourth proportional to 15,946, 23,911.03 and 9,284.69 is: 13,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946 : 23,911.03 = 9,284.69 : x
  2. Step 2: Convert to fraction form
    15,946/23,911.03 = 9,284.69/x
  3. Step 3: Cross multiply
    15,946x = 23,911.03 × 9,284.69
  4. Step 4: Simplify right side
    15,946x = 222,006,501.13
  5. Step 5: Solve for x
    x = 222,006,501.13/15,946
  6. Step 6: Final answer
    x = 13,922.39

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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.