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Finding the Fourth Proportional to 14,823.81, 22,213.71 and 8,240.94

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Solution

The fourth proportional to 14,823.81, 22,213.71 and 8,240.94 is: 12,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.81 : 22,213.71 = 8,240.94 : x
  2. Step 2: Convert to fraction form
    14,823.81/22,213.71 = 8,240.94/x
  3. Step 3: Cross multiply
    14,823.81x = 22,213.71 × 8,240.94
  4. Step 4: Simplify right side
    14,823.81x = 183,061,851.29
  5. Step 5: Solve for x
    x = 183,061,851.29/14,823.81
  6. Step 6: Final answer
    x = 12,349.18

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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.