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Finding the Fourth Proportional to 24,477.57, 36,698.40 and 7,828.02

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Solution

The fourth proportional to 24,477.57, 36,698.40 and 7,828.02 is: 11,736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.57 : 36,698.40 = 7,828.02 : x
  2. Step 2: Convert to fraction form
    24,477.57/36,698.40 = 7,828.02/x
  3. Step 3: Cross multiply
    24,477.57x = 36,698.40 × 7,828.02
  4. Step 4: Simplify right side
    24,477.57x = 287,275,809.17
  5. Step 5: Solve for x
    x = 287,275,809.17/24,477.57
  6. Step 6: Final answer
    x = 11,736.29

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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.