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Finding the Fourth Proportional to 24,588, 36,885.60 and 7,942.50

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Solution

The fourth proportional to 24,588, 36,885.60 and 7,942.50 is: 11,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,588 : 36,885.60 = 7,942.50 : x
  2. Step 2: Convert to fraction form
    24,588/36,885.60 = 7,942.50/x
  3. Step 3: Cross multiply
    24,588x = 36,885.60 × 7,942.50
  4. Step 4: Simplify right side
    24,588x = 292,963,878
  5. Step 5: Solve for x
    x = 292,963,878/24,588
  6. Step 6: Final answer
    x = 11,914.91

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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.