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Finding the Fourth Proportional to 12,024.96, 16,580.94 and 7,770.42

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Solution

The fourth proportional to 12,024.96, 16,580.94 and 7,770.42 is: 10,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.96 : 16,580.94 = 7,770.42 : x
  2. Step 2: Convert to fraction form
    12,024.96/16,580.94 = 7,770.42/x
  3. Step 3: Cross multiply
    12,024.96x = 16,580.94 × 7,770.42
  4. Step 4: Simplify right side
    12,024.96x = 128,840,867.79
  5. Step 5: Solve for x
    x = 128,840,867.79/12,024.96
  6. Step 6: Final answer
    x = 10,714.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.