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Finding the Fourth Proportional to 22,483.78, 31,028.07 and 12,412.18

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Solution

The fourth proportional to 22,483.78, 31,028.07 and 12,412.18 is: 17,129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483.78 : 31,028.07 = 12,412.18 : x
  2. Step 2: Convert to fraction form
    22,483.78/31,028.07 = 12,412.18/x
  3. Step 3: Cross multiply
    22,483.78x = 31,028.07 × 12,412.18
  4. Step 4: Simplify right side
    22,483.78x = 385,125,989.89
  5. Step 5: Solve for x
    x = 385,125,989.89/22,483.78
  6. Step 6: Final answer
    x = 17,129.06

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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.