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Finding the Fourth Proportional to 20,729.01, 31,070.93 and 10,178.09

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Solution

The fourth proportional to 20,729.01, 31,070.93 and 10,178.09 is: 15,256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,729.01 : 31,070.93 = 10,178.09 : x
  2. Step 2: Convert to fraction form
    20,729.01/31,070.93 = 10,178.09/x
  3. Step 3: Cross multiply
    20,729.01x = 31,070.93 × 10,178.09
  4. Step 4: Simplify right side
    20,729.01x = 316,242,632.19
  5. Step 5: Solve for x
    x = 316,242,632.19/20,729.01
  6. Step 6: Final answer
    x = 15,256.04

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