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Finding the Fourth Proportional to 21,406.95, 32,102.46 and 7,363.04

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Solution

The fourth proportional to 21,406.95, 32,102.46 and 7,363.04 is: 11,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.95 : 32,102.46 = 7,363.04 : x
  2. Step 2: Convert to fraction form
    21,406.95/32,102.46 = 7,363.04/x
  3. Step 3: Cross multiply
    21,406.95x = 32,102.46 × 7,363.04
  4. Step 4: Simplify right side
    21,406.95x = 236,371,635.23
  5. Step 5: Solve for x
    x = 236,371,635.23/21,406.95
  6. Step 6: Final answer
    x = 11,041.82

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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.