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Finding the Fourth Proportional to 23,515.32, 35,275 and 7,715.60

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Solution

The fourth proportional to 23,515.32, 35,275 and 7,715.60 is: 11,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,515.32 : 35,275 = 7,715.60 : x
  2. Step 2: Convert to fraction form
    23,515.32/35,275 = 7,715.60/x
  3. Step 3: Cross multiply
    23,515.32x = 35,275 × 7,715.60
  4. Step 4: Simplify right side
    23,515.32x = 272,167,790
  5. Step 5: Solve for x
    x = 272,167,790/23,515.32
  6. Step 6: Final answer
    x = 11,574.06

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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.