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Finding the Fourth Proportional to 22,823.70, 31,495.56 and 12,750.14

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Solution

The fourth proportional to 22,823.70, 31,495.56 and 12,750.14 is: 17,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.70 : 31,495.56 = 12,750.14 : x
  2. Step 2: Convert to fraction form
    22,823.70/31,495.56 = 12,750.14/x
  3. Step 3: Cross multiply
    22,823.70x = 31,495.56 × 12,750.14
  4. Step 4: Simplify right side
    22,823.70x = 401,572,799.38
  5. Step 5: Solve for x
    x = 401,572,799.38/22,823.70
  6. Step 6: Final answer
    x = 17,594.55

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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.