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Finding the Fourth Proportional to 23,427.68, 35,134.28 and 12,328.34

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Solution

The fourth proportional to 23,427.68, 35,134.28 and 12,328.34 is: 18,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,427.68 : 35,134.28 = 12,328.34 : x
  2. Step 2: Convert to fraction form
    23,427.68/35,134.28 = 12,328.34/x
  3. Step 3: Cross multiply
    23,427.68x = 35,134.28 × 12,328.34
  4. Step 4: Simplify right side
    23,427.68x = 433,147,349.50
  5. Step 5: Solve for x
    x = 433,147,349.50/23,427.68
  6. Step 6: Final answer
    x = 18,488.70

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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.