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Finding the Fourth Proportional to 24,243, 36,364.56 and 7,827

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Solution

The fourth proportional to 24,243, 36,364.56 and 7,827 is: 11,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243 : 36,364.56 = 7,827 : x
  2. Step 2: Convert to fraction form
    24,243/36,364.56 = 7,827/x
  3. Step 3: Cross multiply
    24,243x = 36,364.56 × 7,827
  4. Step 4: Simplify right side
    24,243x = 284,625,411.12
  5. Step 5: Solve for x
    x = 284,625,411.12/24,243
  6. Step 6: Final answer
    x = 11,740.52

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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.