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Finding the Fourth Proportional to 24,492.25, 36,735.66 and 6,724.26

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Solution

The fourth proportional to 24,492.25, 36,735.66 and 6,724.26 is: 10,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492.25 : 36,735.66 = 6,724.26 : x
  2. Step 2: Convert to fraction form
    24,492.25/36,735.66 = 6,724.26/x
  3. Step 3: Cross multiply
    24,492.25x = 36,735.66 × 6,724.26
  4. Step 4: Simplify right side
    24,492.25x = 247,020,129.11
  5. Step 5: Solve for x
    x = 247,020,129.11/24,492.25
  6. Step 6: Final answer
    x = 10,085.64

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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.