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Finding the Fourth Proportional to 23,903.78, 32,984.01 and 13,291.37

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Solution

The fourth proportional to 23,903.78, 32,984.01 and 13,291.37 is: 18,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,903.78 : 32,984.01 = 13,291.37 : x
  2. Step 2: Convert to fraction form
    23,903.78/32,984.01 = 13,291.37/x
  3. Step 3: Cross multiply
    23,903.78x = 32,984.01 × 13,291.37
  4. Step 4: Simplify right side
    23,903.78x = 438,402,516.07
  5. Step 5: Solve for x
    x = 438,402,516.07/23,903.78
  6. Step 6: Final answer
    x = 18,340.30

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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.