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Finding the Fourth Proportional to 15,662.64, 23,497.56 and 6,898.23

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Solution

The fourth proportional to 15,662.64, 23,497.56 and 6,898.23 is: 10,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,662.64 : 23,497.56 = 6,898.23 : x
  2. Step 2: Convert to fraction form
    15,662.64/23,497.56 = 6,898.23/x
  3. Step 3: Cross multiply
    15,662.64x = 23,497.56 × 6,898.23
  4. Step 4: Simplify right side
    15,662.64x = 162,091,573.32
  5. Step 5: Solve for x
    x = 162,091,573.32/15,662.64
  6. Step 6: Final answer
    x = 10,348.93

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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.