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Finding the Fourth Proportional to 19,222.68, 28,834.02 and 10,455.24

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Solution

The fourth proportional to 19,222.68, 28,834.02 and 10,455.24 is: 15,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,222.68 : 28,834.02 = 10,455.24 : x
  2. Step 2: Convert to fraction form
    19,222.68/28,834.02 = 10,455.24/x
  3. Step 3: Cross multiply
    19,222.68x = 28,834.02 × 10,455.24
  4. Step 4: Simplify right side
    19,222.68x = 301,466,599.26
  5. Step 5: Solve for x
    x = 301,466,599.26/19,222.68
  6. Step 6: Final answer
    x = 15,682.86

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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.