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Finding the Fourth Proportional to 15,705, 23,557.54 and 4,761

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Solution

The fourth proportional to 15,705, 23,557.54 and 4,761 is: 7,141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705 : 23,557.54 = 4,761 : x
  2. Step 2: Convert to fraction form
    15,705/23,557.54 = 4,761/x
  3. Step 3: Cross multiply
    15,705x = 23,557.54 × 4,761
  4. Step 4: Simplify right side
    15,705x = 112,157,447.94
  5. Step 5: Solve for x
    x = 112,157,447.94/15,705
  6. Step 6: Final answer
    x = 7,141.51

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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.