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Finding the Fourth Proportional to 22,956.31, 31,680.01 and 13,880.46

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Solution

The fourth proportional to 22,956.31, 31,680.01 and 13,880.46 is: 19,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,956.31 : 31,680.01 = 13,880.46 : x
  2. Step 2: Convert to fraction form
    22,956.31/31,680.01 = 13,880.46/x
  3. Step 3: Cross multiply
    22,956.31x = 31,680.01 × 13,880.46
  4. Step 4: Simplify right side
    22,956.31x = 439,733,247.76
  5. Step 5: Solve for x
    x = 439,733,247.76/22,956.31
  6. Step 6: Final answer
    x = 19,155.22

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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.