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Finding the Fourth Proportional to 14,573.32, 20,120.34 and 10,095.42

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Solution

The fourth proportional to 14,573.32, 20,120.34 and 10,095.42 is: 13,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.32 : 20,120.34 = 10,095.42 : x
  2. Step 2: Convert to fraction form
    14,573.32/20,120.34 = 10,095.42/x
  3. Step 3: Cross multiply
    14,573.32x = 20,120.34 × 10,095.42
  4. Step 4: Simplify right side
    14,573.32x = 203,123,282.84
  5. Step 5: Solve for x
    x = 203,123,282.84/14,573.32
  6. Step 6: Final answer
    x = 13,938.02

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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.