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Finding the Fourth Proportional to 23,697, 35,545.56 and 9,657.12

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Solution

The fourth proportional to 23,697, 35,545.56 and 9,657.12 is: 14,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697 : 35,545.56 = 9,657.12 : x
  2. Step 2: Convert to fraction form
    23,697/35,545.56 = 9,657.12/x
  3. Step 3: Cross multiply
    23,697x = 35,545.56 × 9,657.12
  4. Step 4: Simplify right side
    23,697x = 343,267,738.39
  5. Step 5: Solve for x
    x = 343,267,738.39/23,697
  6. Step 6: Final answer
    x = 14,485.70

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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.