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Finding the Fourth Proportional to 23,900.39, 32,982.57 and 13,289.93

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Solution

The fourth proportional to 23,900.39, 32,982.57 and 13,289.93 is: 18,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,900.39 : 32,982.57 = 13,289.93 : x
  2. Step 2: Convert to fraction form
    23,900.39/32,982.57 = 13,289.93/x
  3. Step 3: Cross multiply
    23,900.39x = 32,982.57 × 13,289.93
  4. Step 4: Simplify right side
    23,900.39x = 438,335,881.61
  5. Step 5: Solve for x
    x = 438,335,881.61/23,900.39
  6. Step 6: Final answer
    x = 18,340.12

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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.