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Finding the Fourth Proportional to 23,127.42, 34,696.53 and 7,545

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Solution

The fourth proportional to 23,127.42, 34,696.53 and 7,545 is: 11,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,127.42 : 34,696.53 = 7,545 : x
  2. Step 2: Convert to fraction form
    23,127.42/34,696.53 = 7,545/x
  3. Step 3: Cross multiply
    23,127.42x = 34,696.53 × 7,545
  4. Step 4: Simplify right side
    23,127.42x = 261,785,318.85
  5. Step 5: Solve for x
    x = 261,785,318.85/23,127.42
  6. Step 6: Final answer
    x = 11,319.26

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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.