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Finding the Fourth Proportional to 23,545.44, 35,317.44 and 9,684

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Solution

The fourth proportional to 23,545.44, 35,317.44 and 9,684 is: 14,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,545.44 : 35,317.44 = 9,684 : x
  2. Step 2: Convert to fraction form
    23,545.44/35,317.44 = 9,684/x
  3. Step 3: Cross multiply
    23,545.44x = 35,317.44 × 9,684
  4. Step 4: Simplify right side
    23,545.44x = 342,014,088.96
  5. Step 5: Solve for x
    x = 342,014,088.96/23,545.44
  6. Step 6: Final answer
    x = 14,525.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.