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Finding the Fourth Proportional to 24,114, 36,170.76 and 6,583.83

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Solution

The fourth proportional to 24,114, 36,170.76 and 6,583.83 is: 9,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114 : 36,170.76 = 6,583.83 : x
  2. Step 2: Convert to fraction form
    24,114/36,170.76 = 6,583.83/x
  3. Step 3: Cross multiply
    24,114x = 36,170.76 × 6,583.83
  4. Step 4: Simplify right side
    24,114x = 238,142,134.81
  5. Step 5: Solve for x
    x = 238,142,134.81/24,114
  6. Step 6: Final answer
    x = 9,875.68

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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.