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Finding the Fourth Proportional to 20,307.06, 30,457.44 and 7,832.93

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Solution

The fourth proportional to 20,307.06, 30,457.44 and 7,832.93 is: 11,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307.06 : 30,457.44 = 7,832.93 : x
  2. Step 2: Convert to fraction form
    20,307.06/30,457.44 = 7,832.93/x
  3. Step 3: Cross multiply
    20,307.06x = 30,457.44 × 7,832.93
  4. Step 4: Simplify right side
    20,307.06x = 238,570,843.21
  5. Step 5: Solve for x
    x = 238,570,843.21/20,307.06
  6. Step 6: Final answer
    x = 11,748.17

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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.