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Finding the Fourth Proportional to 20,259.30, 30,368.20 and 7,776.09

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Solution

The fourth proportional to 20,259.30, 30,368.20 and 7,776.09 is: 11,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,259.30 : 30,368.20 = 7,776.09 : x
  2. Step 2: Convert to fraction form
    20,259.30/30,368.20 = 7,776.09/x
  3. Step 3: Cross multiply
    20,259.30x = 30,368.20 × 7,776.09
  4. Step 4: Simplify right side
    20,259.30x = 236,145,856.34
  5. Step 5: Solve for x
    x = 236,145,856.34/20,259.30
  6. Step 6: Final answer
    x = 11,656.17

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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.