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Finding the Fourth Proportional to 24,534.50, 36,803.03 and 7,893.25

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Solution

The fourth proportional to 24,534.50, 36,803.03 and 7,893.25 is: 11,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.50 : 36,803.03 = 7,893.25 : x
  2. Step 2: Convert to fraction form
    24,534.50/36,803.03 = 7,893.25/x
  3. Step 3: Cross multiply
    24,534.50x = 36,803.03 × 7,893.25
  4. Step 4: Simplify right side
    24,534.50x = 290,495,385.07
  5. Step 5: Solve for x
    x = 290,495,385.07/24,534.50
  6. Step 6: Final answer
    x = 11,840.28

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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.