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Finding the Fourth Proportional to 21,888.96, 32,839.20 and 10,196.16

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Solution

The fourth proportional to 21,888.96, 32,839.20 and 10,196.16 is: 15,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,888.96 : 32,839.20 = 10,196.16 : x
  2. Step 2: Convert to fraction form
    21,888.96/32,839.20 = 10,196.16/x
  3. Step 3: Cross multiply
    21,888.96x = 32,839.20 × 10,196.16
  4. Step 4: Simplify right side
    21,888.96x = 334,833,737.47
  5. Step 5: Solve for x
    x = 334,833,737.47/21,888.96
  6. Step 6: Final answer
    x = 15,296.92

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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.