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Finding the Fourth Proportional to 23,901.86, 32,984.49 and 13,291.49

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Solution

The fourth proportional to 23,901.86, 32,984.49 and 13,291.49 is: 18,342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,901.86 : 32,984.49 = 13,291.49 : x
  2. Step 2: Convert to fraction form
    23,901.86/32,984.49 = 13,291.49/x
  3. Step 3: Cross multiply
    23,901.86x = 32,984.49 × 13,291.49
  4. Step 4: Simplify right side
    23,901.86x = 438,413,018.99
  5. Step 5: Solve for x
    x = 438,413,018.99/23,901.86
  6. Step 6: Final answer
    x = 18,342.21

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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.