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Finding the Fourth Proportional to 22,484.75, 31,028.14 and 12,412.97

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Solution

The fourth proportional to 22,484.75, 31,028.14 and 12,412.97 is: 17,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.75 : 31,028.14 = 12,412.97 : x
  2. Step 2: Convert to fraction form
    22,484.75/31,028.14 = 12,412.97/x
  3. Step 3: Cross multiply
    22,484.75x = 31,028.14 × 12,412.97
  4. Step 4: Simplify right side
    22,484.75x = 385,151,417.51
  5. Step 5: Solve for x
    x = 385,151,417.51/22,484.75
  6. Step 6: Final answer
    x = 17,129.45

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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.