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Finding the Fourth Proportional to 23,405.34, 32,302.39 and 13,337.40

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Solution

The fourth proportional to 23,405.34, 32,302.39 and 13,337.40 is: 18,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405.34 : 32,302.39 = 13,337.40 : x
  2. Step 2: Convert to fraction form
    23,405.34/32,302.39 = 13,337.40/x
  3. Step 3: Cross multiply
    23,405.34x = 32,302.39 × 13,337.40
  4. Step 4: Simplify right side
    23,405.34x = 430,829,896.39
  5. Step 5: Solve for x
    x = 430,829,896.39/23,405.34
  6. Step 6: Final answer
    x = 18,407.33

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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.