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Finding the Fourth Proportional to 23,145.11, 34,714.95 and 6,506.56

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Solution

The fourth proportional to 23,145.11, 34,714.95 and 6,506.56 is: 9,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.11 : 34,714.95 = 6,506.56 : x
  2. Step 2: Convert to fraction form
    23,145.11/34,714.95 = 6,506.56/x
  3. Step 3: Cross multiply
    23,145.11x = 34,714.95 × 6,506.56
  4. Step 4: Simplify right side
    23,145.11x = 225,874,905.07
  5. Step 5: Solve for x
    x = 225,874,905.07/23,145.11
  6. Step 6: Final answer
    x = 9,759.08

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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.