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Finding the Fourth Proportional to 22,484.14, 31,027.68 and 12,412.89

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Solution

The fourth proportional to 22,484.14, 31,027.68 and 12,412.89 is: 17,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.14 : 31,027.68 = 12,412.89 : x
  2. Step 2: Convert to fraction form
    22,484.14/31,027.68 = 12,412.89/x
  3. Step 3: Cross multiply
    22,484.14x = 31,027.68 × 12,412.89
  4. Step 4: Simplify right side
    22,484.14x = 385,143,178.80
  5. Step 5: Solve for x
    x = 385,143,178.80/22,484.14
  6. Step 6: Final answer
    x = 17,129.55

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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.