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Finding the Fourth Proportional to 24,189.84, 36,277.08 and 7,770

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Solution

The fourth proportional to 24,189.84, 36,277.08 and 7,770 is: 11,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.84 : 36,277.08 = 7,770 : x
  2. Step 2: Convert to fraction form
    24,189.84/36,277.08 = 7,770/x
  3. Step 3: Cross multiply
    24,189.84x = 36,277.08 × 7,770
  4. Step 4: Simplify right side
    24,189.84x = 281,872,911.60
  5. Step 5: Solve for x
    x = 281,872,911.60/24,189.84
  6. Step 6: Final answer
    x = 11,652.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.