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Finding the Fourth Proportional to 15,703.11, 23,562.74 and 8,681.82

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Solution

The fourth proportional to 15,703.11, 23,562.74 and 8,681.82 is: 13,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703.11 : 23,562.74 = 8,681.82 : x
  2. Step 2: Convert to fraction form
    15,703.11/23,562.74 = 8,681.82/x
  3. Step 3: Cross multiply
    15,703.11x = 23,562.74 × 8,681.82
  4. Step 4: Simplify right side
    15,703.11x = 204,567,467.39
  5. Step 5: Solve for x
    x = 204,567,467.39/15,703.11
  6. Step 6: Final answer
    x = 13,027.19

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Why These Related Problems?

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