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Finding the Fourth Proportional to 24,495.58, 36,746.63 and 7,850.08

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Solution

The fourth proportional to 24,495.58, 36,746.63 and 7,850.08 is: 11,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,495.58 : 36,746.63 = 7,850.08 : x
  2. Step 2: Convert to fraction form
    24,495.58/36,746.63 = 7,850.08/x
  3. Step 3: Cross multiply
    24,495.58x = 36,746.63 × 7,850.08
  4. Step 4: Simplify right side
    24,495.58x = 288,464,021.35
  5. Step 5: Solve for x
    x = 288,464,021.35/24,495.58
  6. Step 6: Final answer
    x = 11,776.17

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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.