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Finding the Fourth Proportional to 20,523.51, 30,790.04 and 6,484.95

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Solution

The fourth proportional to 20,523.51, 30,790.04 and 6,484.95 is: 9,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523.51 : 30,790.04 = 6,484.95 : x
  2. Step 2: Convert to fraction form
    20,523.51/30,790.04 = 6,484.95/x
  3. Step 3: Cross multiply
    20,523.51x = 30,790.04 × 6,484.95
  4. Step 4: Simplify right side
    20,523.51x = 199,671,837.47
  5. Step 5: Solve for x
    x = 199,671,837.47/20,523.51
  6. Step 6: Final answer
    x = 9,728.93

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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.