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Finding the Fourth Proportional to 22,959.12, 31,683.12 and 12,749.62

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Solution

The fourth proportional to 22,959.12, 31,683.12 and 12,749.62 is: 17,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,959.12 : 31,683.12 = 12,749.62 : x
  2. Step 2: Convert to fraction form
    22,959.12/31,683.12 = 12,749.62/x
  3. Step 3: Cross multiply
    22,959.12x = 31,683.12 × 12,749.62
  4. Step 4: Simplify right side
    22,959.12x = 403,947,740.41
  5. Step 5: Solve for x
    x = 403,947,740.41/22,959.12
  6. Step 6: Final answer
    x = 17,594.22

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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.