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Finding the Fourth Proportional to 21,688.16, 32,532.47 and 7,645.57

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Solution

The fourth proportional to 21,688.16, 32,532.47 and 7,645.57 is: 11,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,688.16 : 32,532.47 = 7,645.57 : x
  2. Step 2: Convert to fraction form
    21,688.16/32,532.47 = 7,645.57/x
  3. Step 3: Cross multiply
    21,688.16x = 32,532.47 × 7,645.57
  4. Step 4: Simplify right side
    21,688.16x = 248,729,276.66
  5. Step 5: Solve for x
    x = 248,729,276.66/21,688.16
  6. Step 6: Final answer
    x = 11,468.44

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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.