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Finding the Fourth Proportional to 23,820.60, 35,722.64 and 9,776.64

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Solution

The fourth proportional to 23,820.60, 35,722.64 and 9,776.64 is: 14,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.60 : 35,722.64 = 9,776.64 : x
  2. Step 2: Convert to fraction form
    23,820.60/35,722.64 = 9,776.64/x
  3. Step 3: Cross multiply
    23,820.60x = 35,722.64 × 9,776.64
  4. Step 4: Simplify right side
    23,820.60x = 349,247,391.13
  5. Step 5: Solve for x
    x = 349,247,391.13/23,820.60
  6. Step 6: Final answer
    x = 14,661.57

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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.