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Finding the Fourth Proportional to 15,767.69, 23,638.71 and 5,901.44

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Solution

The fourth proportional to 15,767.69, 23,638.71 and 5,901.44 is: 8,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.69 : 23,638.71 = 5,901.44 : x
  2. Step 2: Convert to fraction form
    15,767.69/23,638.71 = 5,901.44/x
  3. Step 3: Cross multiply
    15,767.69x = 23,638.71 × 5,901.44
  4. Step 4: Simplify right side
    15,767.69x = 139,502,428.74
  5. Step 5: Solve for x
    x = 139,502,428.74/15,767.69
  6. Step 6: Final answer
    x = 8,847.36

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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.