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Finding the Fourth Proportional to 14,353.42, 21,540.06 and 5,588.38

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Solution

The fourth proportional to 14,353.42, 21,540.06 and 5,588.38 is: 8,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,353.42 : 21,540.06 = 5,588.38 : x
  2. Step 2: Convert to fraction form
    14,353.42/21,540.06 = 5,588.38/x
  3. Step 3: Cross multiply
    14,353.42x = 21,540.06 × 5,588.38
  4. Step 4: Simplify right side
    14,353.42x = 120,374,040.50
  5. Step 5: Solve for x
    x = 120,374,040.50/14,353.42
  6. Step 6: Final answer
    x = 8,386.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.