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Finding the Fourth Proportional to 21,521.52, 32,269.05 and 7,478.28

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Solution

The fourth proportional to 21,521.52, 32,269.05 and 7,478.28 is: 11,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,521.52 : 32,269.05 = 7,478.28 : x
  2. Step 2: Convert to fraction form
    21,521.52/32,269.05 = 7,478.28/x
  3. Step 3: Cross multiply
    21,521.52x = 32,269.05 × 7,478.28
  4. Step 4: Simplify right side
    21,521.52x = 241,316,991.23
  5. Step 5: Solve for x
    x = 241,316,991.23/21,521.52
  6. Step 6: Final answer
    x = 11,212.82

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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.