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Finding the Fourth Proportional to 23,506.68, 35,261.46 and 7,712.76

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Solution

The fourth proportional to 23,506.68, 35,261.46 and 7,712.76 is: 11,569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.68 : 35,261.46 = 7,712.76 : x
  2. Step 2: Convert to fraction form
    23,506.68/35,261.46 = 7,712.76/x
  3. Step 3: Cross multiply
    23,506.68x = 35,261.46 × 7,712.76
  4. Step 4: Simplify right side
    23,506.68x = 271,963,178.23
  5. Step 5: Solve for x
    x = 271,963,178.23/23,506.68
  6. Step 6: Final answer
    x = 11,569.61

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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.