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Finding the Fourth Proportional to 23,042.88, 34,568.64 and 7,458.48

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Solution

The fourth proportional to 23,042.88, 34,568.64 and 7,458.48 is: 11,189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,042.88 : 34,568.64 = 7,458.48 : x
  2. Step 2: Convert to fraction form
    23,042.88/34,568.64 = 7,458.48/x
  3. Step 3: Cross multiply
    23,042.88x = 34,568.64 × 7,458.48
  4. Step 4: Simplify right side
    23,042.88x = 257,829,510.07
  5. Step 5: Solve for x
    x = 257,829,510.07/23,042.88
  6. Step 6: Final answer
    x = 11,189.12

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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.