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Finding the Fourth Proportional to 22,878.24, 34,319.52 and 9,024

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Solution

The fourth proportional to 22,878.24, 34,319.52 and 9,024 is: 13,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878.24 : 34,319.52 = 9,024 : x
  2. Step 2: Convert to fraction form
    22,878.24/34,319.52 = 9,024/x
  3. Step 3: Cross multiply
    22,878.24x = 34,319.52 × 9,024
  4. Step 4: Simplify right side
    22,878.24x = 309,699,348.48
  5. Step 5: Solve for x
    x = 309,699,348.48/22,878.24
  6. Step 6: Final answer
    x = 13,536.85

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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.