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Finding the Fourth Proportional to 22,484.16, 31,027.97 and 12,412.59

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Solution

The fourth proportional to 22,484.16, 31,027.97 and 12,412.59 is: 17,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.16 : 31,027.97 = 12,412.59 : x
  2. Step 2: Convert to fraction form
    22,484.16/31,027.97 = 12,412.59/x
  3. Step 3: Cross multiply
    22,484.16x = 31,027.97 × 12,412.59
  4. Step 4: Simplify right side
    22,484.16x = 385,137,408.08
  5. Step 5: Solve for x
    x = 385,137,408.08/22,484.16
  6. Step 6: Final answer
    x = 17,129.28

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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.