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Finding the Fourth Proportional to 23,253.30, 34,878.87 and 7,671.06

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Solution

The fourth proportional to 23,253.30, 34,878.87 and 7,671.06 is: 11,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,253.30 : 34,878.87 = 7,671.06 : x
  2. Step 2: Convert to fraction form
    23,253.30/34,878.87 = 7,671.06/x
  3. Step 3: Cross multiply
    23,253.30x = 34,878.87 × 7,671.06
  4. Step 4: Simplify right side
    23,253.30x = 267,557,904.50
  5. Step 5: Solve for x
    x = 267,557,904.50/23,253.30
  6. Step 6: Final answer
    x = 11,506.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.