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Finding the Fourth Proportional to 15,893.32, 23,838.86 and 4,206.28

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Solution

The fourth proportional to 15,893.32, 23,838.86 and 4,206.28 is: 6,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893.32 : 23,838.86 = 4,206.28 : x
  2. Step 2: Convert to fraction form
    15,893.32/23,838.86 = 4,206.28/x
  3. Step 3: Cross multiply
    15,893.32x = 23,838.86 × 4,206.28
  4. Step 4: Simplify right side
    15,893.32x = 100,272,920.04
  5. Step 5: Solve for x
    x = 100,272,920.04/15,893.32
  6. Step 6: Final answer
    x = 6,309.12

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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.