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Finding the Fourth Proportional to 23,143.93, 34,715.89 and 6,505.64

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Solution

The fourth proportional to 23,143.93, 34,715.89 and 6,505.64 is: 9,758.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.93 : 34,715.89 = 6,505.64 : x
  2. Step 2: Convert to fraction form
    23,143.93/34,715.89 = 6,505.64/x
  3. Step 3: Cross multiply
    23,143.93x = 34,715.89 × 6,505.64
  4. Step 4: Simplify right side
    23,143.93x = 225,849,145.00
  5. Step 5: Solve for x
    x = 225,849,145.00/23,143.93
  6. Step 6: Final answer
    x = 9,758.46

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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.