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Finding the Fourth Proportional to 24,342.93, 36,515.61 and 6,814.53

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Solution

The fourth proportional to 24,342.93, 36,515.61 and 6,814.53 is: 10,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.93 : 36,515.61 = 6,814.53 : x
  2. Step 2: Convert to fraction form
    24,342.93/36,515.61 = 6,814.53/x
  3. Step 3: Cross multiply
    24,342.93x = 36,515.61 × 6,814.53
  4. Step 4: Simplify right side
    24,342.93x = 248,836,719.81
  5. Step 5: Solve for x
    x = 248,836,719.81/24,342.93
  6. Step 6: Final answer
    x = 10,222.14

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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.