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Finding the Fourth Proportional to 23,143.51, 34,715.27 and 6,502.87

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Solution

The fourth proportional to 23,143.51, 34,715.27 and 6,502.87 is: 9,754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.51 : 34,715.27 = 6,502.87 : x
  2. Step 2: Convert to fraction form
    23,143.51/34,715.27 = 6,502.87/x
  3. Step 3: Cross multiply
    23,143.51x = 34,715.27 × 6,502.87
  4. Step 4: Simplify right side
    23,143.51x = 225,748,855.31
  5. Step 5: Solve for x
    x = 225,748,855.31/23,143.51
  6. Step 6: Final answer
    x = 9,754.31

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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.