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Finding the Fourth Proportional to 21,830.62, 32,752.32 and 7,039.24

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Solution

The fourth proportional to 21,830.62, 32,752.32 and 7,039.24 is: 10,560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.62 : 32,752.32 = 7,039.24 : x
  2. Step 2: Convert to fraction form
    21,830.62/32,752.32 = 7,039.24/x
  3. Step 3: Cross multiply
    21,830.62x = 32,752.32 × 7,039.24
  4. Step 4: Simplify right side
    21,830.62x = 230,551,441.04
  5. Step 5: Solve for x
    x = 230,551,441.04/21,830.62
  6. Step 6: Final answer
    x = 10,560.92

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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.