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Finding the Fourth Proportional to 10,777.84, 16,132.20 and 9,214.96

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Solution

The fourth proportional to 10,777.84, 16,132.20 and 9,214.96 is: 13,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.84 : 16,132.20 = 9,214.96 : x
  2. Step 2: Convert to fraction form
    10,777.84/16,132.20 = 9,214.96/x
  3. Step 3: Cross multiply
    10,777.84x = 16,132.20 × 9,214.96
  4. Step 4: Simplify right side
    10,777.84x = 148,657,577.71
  5. Step 5: Solve for x
    x = 148,657,577.71/10,777.84
  6. Step 6: Final answer
    x = 13,792.89

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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.