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Finding the Fourth Proportional to 21,898.16, 32,858.16 and 10,212.32

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Solution

The fourth proportional to 21,898.16, 32,858.16 and 10,212.32 is: 15,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,898.16 : 32,858.16 = 10,212.32 : x
  2. Step 2: Convert to fraction form
    21,898.16/32,858.16 = 10,212.32/x
  3. Step 3: Cross multiply
    21,898.16x = 32,858.16 × 10,212.32
  4. Step 4: Simplify right side
    21,898.16x = 335,558,044.53
  5. Step 5: Solve for x
    x = 335,558,044.53/21,898.16
  6. Step 6: Final answer
    x = 15,323.57

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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.