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Finding the Fourth Proportional to 20,047.64, 30,071.47 and 6,009.14

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Solution

The fourth proportional to 20,047.64, 30,071.47 and 6,009.14 is: 9,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.64 : 30,071.47 = 6,009.14 : x
  2. Step 2: Convert to fraction form
    20,047.64/30,071.47 = 6,009.14/x
  3. Step 3: Cross multiply
    20,047.64x = 30,071.47 × 6,009.14
  4. Step 4: Simplify right side
    20,047.64x = 180,703,575.51
  5. Step 5: Solve for x
    x = 180,703,575.51/20,047.64
  6. Step 6: Final answer
    x = 9,013.71

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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.