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Finding the Fourth Proportional to 15,922.64, 21,967.56 and 10,946

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Solution

The fourth proportional to 15,922.64, 21,967.56 and 10,946 is: 15,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922.64 : 21,967.56 = 10,946 : x
  2. Step 2: Convert to fraction form
    15,922.64/21,967.56 = 10,946/x
  3. Step 3: Cross multiply
    15,922.64x = 21,967.56 × 10,946
  4. Step 4: Simplify right side
    15,922.64x = 240,456,911.76
  5. Step 5: Solve for x
    x = 240,456,911.76/15,922.64
  6. Step 6: Final answer
    x = 15,101.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.