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Finding the Fourth Proportional to 21,562.83, 32,343.98 and 7,522.83

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Solution

The fourth proportional to 21,562.83, 32,343.98 and 7,522.83 is: 11,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,562.83 : 32,343.98 = 7,522.83 : x
  2. Step 2: Convert to fraction form
    21,562.83/32,343.98 = 7,522.83/x
  3. Step 3: Cross multiply
    21,562.83x = 32,343.98 × 7,522.83
  4. Step 4: Simplify right side
    21,562.83x = 243,318,225.45
  5. Step 5: Solve for x
    x = 243,318,225.45/21,562.83
  6. Step 6: Final answer
    x = 11,284.15

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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.