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Finding the Fourth Proportional to 19,219.68, 28,829.52 and 10,452.24

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Solution

The fourth proportional to 19,219.68, 28,829.52 and 10,452.24 is: 15,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,219.68 : 28,829.52 = 10,452.24 : x
  2. Step 2: Convert to fraction form
    19,219.68/28,829.52 = 10,452.24/x
  3. Step 3: Cross multiply
    19,219.68x = 28,829.52 × 10,452.24
  4. Step 4: Simplify right side
    19,219.68x = 301,333,062.12
  5. Step 5: Solve for x
    x = 301,333,062.12/19,219.68
  6. Step 6: Final answer
    x = 15,678.36

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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.