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Finding the Fourth Proportional to 23,838.48, 35,759.28 and 6,307.86

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Solution

The fourth proportional to 23,838.48, 35,759.28 and 6,307.86 is: 9,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.48 : 35,759.28 = 6,307.86 : x
  2. Step 2: Convert to fraction form
    23,838.48/35,759.28 = 6,307.86/x
  3. Step 3: Cross multiply
    23,838.48x = 35,759.28 × 6,307.86
  4. Step 4: Simplify right side
    23,838.48x = 225,564,531.94
  5. Step 5: Solve for x
    x = 225,564,531.94/23,838.48
  6. Step 6: Final answer
    x = 9,462.20

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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.