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Finding the Fourth Proportional to 15,703, 23,500.19 and 9,696.61

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Solution

The fourth proportional to 15,703, 23,500.19 and 9,696.61 is: 14,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703 : 23,500.19 = 9,696.61 : x
  2. Step 2: Convert to fraction form
    15,703/23,500.19 = 9,696.61/x
  3. Step 3: Cross multiply
    15,703x = 23,500.19 × 9,696.61
  4. Step 4: Simplify right side
    15,703x = 227,872,177.36
  5. Step 5: Solve for x
    x = 227,872,177.36/15,703
  6. Step 6: Final answer
    x = 14,511.38

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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.