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Finding the Fourth Proportional to 21,538.07, 32,302.84 and 20,470.01

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Solution

The fourth proportional to 21,538.07, 32,302.84 and 20,470.01 is: 30,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.07 : 32,302.84 = 20,470.01 : x
  2. Step 2: Convert to fraction form
    21,538.07/32,302.84 = 20,470.01/x
  3. Step 3: Cross multiply
    21,538.07x = 32,302.84 × 20,470.01
  4. Step 4: Simplify right side
    21,538.07x = 661,239,465.22
  5. Step 5: Solve for x
    x = 661,239,465.22/21,538.07
  6. Step 6: Final answer
    x = 30,700.97

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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.