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Finding the Fourth Proportional to 22,973.57, 31,703.14 and 12,764.39

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Solution

The fourth proportional to 22,973.57, 31,703.14 and 12,764.39 is: 17,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,973.57 : 31,703.14 = 12,764.39 : x
  2. Step 2: Convert to fraction form
    22,973.57/31,703.14 = 12,764.39/x
  3. Step 3: Cross multiply
    22,973.57x = 31,703.14 × 12,764.39
  4. Step 4: Simplify right side
    22,973.57x = 404,671,100.62
  5. Step 5: Solve for x
    x = 404,671,100.62/22,973.57
  6. Step 6: Final answer
    x = 17,614.64

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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.