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Finding the Fourth Proportional to 22,419.54, 30,931.74 and 12,986.28

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Solution

The fourth proportional to 22,419.54, 30,931.74 and 12,986.28 is: 17,916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,419.54 : 30,931.74 = 12,986.28 : x
  2. Step 2: Convert to fraction form
    22,419.54/30,931.74 = 12,986.28/x
  3. Step 3: Cross multiply
    22,419.54x = 30,931.74 × 12,986.28
  4. Step 4: Simplify right side
    22,419.54x = 401,688,236.53
  5. Step 5: Solve for x
    x = 401,688,236.53/22,419.54
  6. Step 6: Final answer
    x = 17,916.88

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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.