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Finding the Fourth Proportional to 23,124, 34,686.84 and 6,485.58

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Solution

The fourth proportional to 23,124, 34,686.84 and 6,485.58 is: 9,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124 : 34,686.84 = 6,485.58 : x
  2. Step 2: Convert to fraction form
    23,124/34,686.84 = 6,485.58/x
  3. Step 3: Cross multiply
    23,124x = 34,686.84 × 6,485.58
  4. Step 4: Simplify right side
    23,124x = 224,964,275.77
  5. Step 5: Solve for x
    x = 224,964,275.77/23,124
  6. Step 6: Final answer
    x = 9,728.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.