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Finding the Fourth Proportional to 21,106.90, 31,656.48 and 7,777

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Solution

The fourth proportional to 21,106.90, 31,656.48 and 7,777 is: 11,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.90 : 31,656.48 = 7,777 : x
  2. Step 2: Convert to fraction form
    21,106.90/31,656.48 = 7,777/x
  3. Step 3: Cross multiply
    21,106.90x = 31,656.48 × 7,777
  4. Step 4: Simplify right side
    21,106.90x = 246,192,444.96
  5. Step 5: Solve for x
    x = 246,192,444.96/21,106.90
  6. Step 6: Final answer
    x = 11,664.07

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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.