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Finding the Fourth Proportional to 24,388.74, 36,586.58 and 7,523.17

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Solution

The fourth proportional to 24,388.74, 36,586.58 and 7,523.17 is: 11,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,388.74 : 36,586.58 = 7,523.17 : x
  2. Step 2: Convert to fraction form
    24,388.74/36,586.58 = 7,523.17/x
  3. Step 3: Cross multiply
    24,388.74x = 36,586.58 × 7,523.17
  4. Step 4: Simplify right side
    24,388.74x = 275,246,931.98
  5. Step 5: Solve for x
    x = 275,246,931.98/24,388.74
  6. Step 6: Final answer
    x = 11,285.82

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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.