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Finding the Fourth Proportional to 23,897.04, 32,978.07 and 13,286.76

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Solution

The fourth proportional to 23,897.04, 32,978.07 and 13,286.76 is: 18,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.04 : 32,978.07 = 13,286.76 : x
  2. Step 2: Convert to fraction form
    23,897.04/32,978.07 = 13,286.76/x
  3. Step 3: Cross multiply
    23,897.04x = 32,978.07 × 13,286.76
  4. Step 4: Simplify right side
    23,897.04x = 438,171,701.35
  5. Step 5: Solve for x
    x = 438,171,701.35/23,897.04
  6. Step 6: Final answer
    x = 18,335.81

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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.