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Finding the Fourth Proportional to 23,137, 31,926.62 and 13,064.82

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Solution

The fourth proportional to 23,137, 31,926.62 and 13,064.82 is: 18,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137 : 31,926.62 = 13,064.82 : x
  2. Step 2: Convert to fraction form
    23,137/31,926.62 = 13,064.82/x
  3. Step 3: Cross multiply
    23,137x = 31,926.62 × 13,064.82
  4. Step 4: Simplify right side
    23,137x = 417,115,543.51
  5. Step 5: Solve for x
    x = 417,115,543.51/23,137
  6. Step 6: Final answer
    x = 18,028.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.