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Finding the Fourth Proportional to 23,838, 32,887.94 and 14,882.10

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Solution

The fourth proportional to 23,838, 32,887.94 and 14,882.10 is: 20,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838 : 32,887.94 = 14,882.10 : x
  2. Step 2: Convert to fraction form
    23,838/32,887.94 = 14,882.10/x
  3. Step 3: Cross multiply
    23,838x = 32,887.94 × 14,882.10
  4. Step 4: Simplify right side
    23,838x = 489,441,537.46
  5. Step 5: Solve for x
    x = 489,441,537.46/23,838
  6. Step 6: Final answer
    x = 20,531.99

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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.