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Finding the Fourth Proportional to 24,117, 36,175.26 and 6,586.83

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Solution

The fourth proportional to 24,117, 36,175.26 and 6,586.83 is: 9,880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,117 : 36,175.26 = 6,586.83 : x
  2. Step 2: Convert to fraction form
    24,117/36,175.26 = 6,586.83/x
  3. Step 3: Cross multiply
    24,117x = 36,175.26 × 6,586.83
  4. Step 4: Simplify right side
    24,117x = 238,280,287.83
  5. Step 5: Solve for x
    x = 238,280,287.83/24,117
  6. Step 6: Final answer
    x = 9,880.18

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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.