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Finding the Fourth Proportional to 23,715.42, 35,575.16 and 7,074.38

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Solution

The fourth proportional to 23,715.42, 35,575.16 and 7,074.38 is: 10,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,715.42 : 35,575.16 = 7,074.38 : x
  2. Step 2: Convert to fraction form
    23,715.42/35,575.16 = 7,074.38/x
  3. Step 3: Cross multiply
    23,715.42x = 35,575.16 × 7,074.38
  4. Step 4: Simplify right side
    23,715.42x = 251,672,200.40
  5. Step 5: Solve for x
    x = 251,672,200.40/23,715.42
  6. Step 6: Final answer
    x = 10,612.18

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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.