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Finding the Fourth Proportional to 15,208.71, 22,814.42 and 5,348.07

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Solution

The fourth proportional to 15,208.71, 22,814.42 and 5,348.07 is: 8,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,208.71 : 22,814.42 = 5,348.07 : x
  2. Step 2: Convert to fraction form
    15,208.71/22,814.42 = 5,348.07/x
  3. Step 3: Cross multiply
    15,208.71x = 22,814.42 × 5,348.07
  4. Step 4: Simplify right side
    15,208.71x = 122,013,088.43
  5. Step 5: Solve for x
    x = 122,013,088.43/15,208.71
  6. Step 6: Final answer
    x = 8,022.58

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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.