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Finding the Fourth Proportional to 23,742.93, 35,616.08 and 7,101.62

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Solution

The fourth proportional to 23,742.93, 35,616.08 and 7,101.62 is: 10,652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,742.93 : 35,616.08 = 7,101.62 : x
  2. Step 2: Convert to fraction form
    23,742.93/35,616.08 = 7,101.62/x
  3. Step 3: Cross multiply
    23,742.93x = 35,616.08 × 7,101.62
  4. Step 4: Simplify right side
    23,742.93x = 252,931,705.72
  5. Step 5: Solve for x
    x = 252,931,705.72/23,742.93
  6. Step 6: Final answer
    x = 10,652.93

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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.