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Finding the Fourth Proportional to 24,297.16, 36,445.98 and 6,768.28

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Solution

The fourth proportional to 24,297.16, 36,445.98 and 6,768.28 is: 10,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,297.16 : 36,445.98 = 6,768.28 : x
  2. Step 2: Convert to fraction form
    24,297.16/36,445.98 = 6,768.28/x
  3. Step 3: Cross multiply
    24,297.16x = 36,445.98 × 6,768.28
  4. Step 4: Simplify right side
    24,297.16x = 246,676,597.51
  5. Step 5: Solve for x
    x = 246,676,597.51/24,297.16
  6. Step 6: Final answer
    x = 10,152.49

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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.