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Finding the Fourth Proportional to 21,338.02, 32,003.38 and 5,752

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Solution

The fourth proportional to 21,338.02, 32,003.38 and 5,752 is: 8,627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338.02 : 32,003.38 = 5,752 : x
  2. Step 2: Convert to fraction form
    21,338.02/32,003.38 = 5,752/x
  3. Step 3: Cross multiply
    21,338.02x = 32,003.38 × 5,752
  4. Step 4: Simplify right side
    21,338.02x = 184,083,441.76
  5. Step 5: Solve for x
    x = 184,083,441.76/21,338.02
  6. Step 6: Final answer
    x = 8,627.02

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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.