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Finding the Fourth Proportional to 24,223.84, 36,328.08 and 7,804

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Solution

The fourth proportional to 24,223.84, 36,328.08 and 7,804 is: 11,703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223.84 : 36,328.08 = 7,804 : x
  2. Step 2: Convert to fraction form
    24,223.84/36,328.08 = 7,804/x
  3. Step 3: Cross multiply
    24,223.84x = 36,328.08 × 7,804
  4. Step 4: Simplify right side
    24,223.84x = 283,504,336.32
  5. Step 5: Solve for x
    x = 283,504,336.32/24,223.84
  6. Step 6: Final answer
    x = 11,703.53

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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.