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Finding the Fourth Proportional to 23,815.35, 35,737.61 and 9,782.10

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Solution

The fourth proportional to 23,815.35, 35,737.61 and 9,782.10 is: 14,679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,815.35 : 35,737.61 = 9,782.10 : x
  2. Step 2: Convert to fraction form
    23,815.35/35,737.61 = 9,782.10/x
  3. Step 3: Cross multiply
    23,815.35x = 35,737.61 × 9,782.10
  4. Step 4: Simplify right side
    23,815.35x = 349,588,825.87
  5. Step 5: Solve for x
    x = 349,588,825.87/23,815.35
  6. Step 6: Final answer
    x = 14,679.14

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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.