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Finding the Fourth Proportional to 24,830.80, 37,234.44 and 9,024.80

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Solution

The fourth proportional to 24,830.80, 37,234.44 and 9,024.80 is: 13,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,830.80 : 37,234.44 = 9,024.80 : x
  2. Step 2: Convert to fraction form
    24,830.80/37,234.44 = 9,024.80/x
  3. Step 3: Cross multiply
    24,830.80x = 37,234.44 × 9,024.80
  4. Step 4: Simplify right side
    24,830.80x = 336,033,374.11
  5. Step 5: Solve for x
    x = 336,033,374.11/24,830.80
  6. Step 6: Final answer
    x = 13,532.93

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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.