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Finding the Fourth Proportional to 23,498.76, 35,244.14 and 7,703.48

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Solution

The fourth proportional to 23,498.76, 35,244.14 and 7,703.48 is: 11,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498.76 : 35,244.14 = 7,703.48 : x
  2. Step 2: Convert to fraction form
    23,498.76/35,244.14 = 7,703.48/x
  3. Step 3: Cross multiply
    23,498.76x = 35,244.14 × 7,703.48
  4. Step 4: Simplify right side
    23,498.76x = 271,502,527.61
  5. Step 5: Solve for x
    x = 271,502,527.61/23,498.76
  6. Step 6: Final answer
    x = 11,553.91

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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.