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Finding the Fourth Proportional to 24,214.69, 36,376.71 and 14,360.43

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Solution

The fourth proportional to 24,214.69, 36,376.71 and 14,360.43 is: 21,573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.69 : 36,376.71 = 14,360.43 : x
  2. Step 2: Convert to fraction form
    24,214.69/36,376.71 = 14,360.43/x
  3. Step 3: Cross multiply
    24,214.69x = 36,376.71 × 14,360.43
  4. Step 4: Simplify right side
    24,214.69x = 522,385,197.59
  5. Step 5: Solve for x
    x = 522,385,197.59/24,214.69
  6. Step 6: Final answer
    x = 21,573.07

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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.