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Finding the Fourth Proportional to 22,948.98, 31,672.02 and 12,880.14

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Solution

The fourth proportional to 22,948.98, 31,672.02 and 12,880.14 is: 17,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,948.98 : 31,672.02 = 12,880.14 : x
  2. Step 2: Convert to fraction form
    22,948.98/31,672.02 = 12,880.14/x
  3. Step 3: Cross multiply
    22,948.98x = 31,672.02 × 12,880.14
  4. Step 4: Simplify right side
    22,948.98x = 407,940,051.68
  5. Step 5: Solve for x
    x = 407,940,051.68/22,948.98
  6. Step 6: Final answer
    x = 17,775.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.