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Finding the Fourth Proportional to 15,833.26, 23,746.33 and 4,738.52

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Solution

The fourth proportional to 15,833.26, 23,746.33 and 4,738.52 is: 7,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.26 : 23,746.33 = 4,738.52 : x
  2. Step 2: Convert to fraction form
    15,833.26/23,746.33 = 4,738.52/x
  3. Step 3: Cross multiply
    15,833.26x = 23,746.33 × 4,738.52
  4. Step 4: Simplify right side
    15,833.26x = 112,522,507.15
  5. Step 5: Solve for x
    x = 112,522,507.15/15,833.26
  6. Step 6: Final answer
    x = 7,106.72

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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.