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Finding the Fourth Proportional to 23,497.76, 35,242.64 and 7,702.48

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Solution

The fourth proportional to 23,497.76, 35,242.64 and 7,702.48 is: 11,552.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.76 : 35,242.64 = 7,702.48 : x
  2. Step 2: Convert to fraction form
    23,497.76/35,242.64 = 7,702.48/x
  3. Step 3: Cross multiply
    23,497.76x = 35,242.64 × 7,702.48
  4. Step 4: Simplify right side
    23,497.76x = 271,455,729.75
  5. Step 5: Solve for x
    x = 271,455,729.75/23,497.76
  6. Step 6: Final answer
    x = 11,552.41

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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.