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Finding the Fourth Proportional to 23,229.40, 32,059.32 and 13,798

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Solution

The fourth proportional to 23,229.40, 32,059.32 and 13,798 is: 19,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229.40 : 32,059.32 = 13,798 : x
  2. Step 2: Convert to fraction form
    23,229.40/32,059.32 = 13,798/x
  3. Step 3: Cross multiply
    23,229.40x = 32,059.32 × 13,798
  4. Step 4: Simplify right side
    23,229.40x = 442,354,497.36
  5. Step 5: Solve for x
    x = 442,354,497.36/23,229.40
  6. Step 6: Final answer
    x = 19,042.87

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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.