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Finding the Fourth Proportional to 15,735.69, 23,603.72 and 4,642.61

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Solution

The fourth proportional to 15,735.69, 23,603.72 and 4,642.61 is: 6,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.69 : 23,603.72 = 4,642.61 : x
  2. Step 2: Convert to fraction form
    15,735.69/23,603.72 = 4,642.61/x
  3. Step 3: Cross multiply
    15,735.69x = 23,603.72 × 4,642.61
  4. Step 4: Simplify right side
    15,735.69x = 109,582,725.28
  5. Step 5: Solve for x
    x = 109,582,725.28/15,735.69
  6. Step 6: Final answer
    x = 6,963.96

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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.