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Finding the Fourth Proportional to 24,442.72, 36,664.37 and 7,802.66

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Solution

The fourth proportional to 24,442.72, 36,664.37 and 7,802.66 is: 11,704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,442.72 : 36,664.37 = 7,802.66 : x
  2. Step 2: Convert to fraction form
    24,442.72/36,664.37 = 7,802.66/x
  3. Step 3: Cross multiply
    24,442.72x = 36,664.37 × 7,802.66
  4. Step 4: Simplify right side
    24,442.72x = 286,079,695.13
  5. Step 5: Solve for x
    x = 286,079,695.13/24,442.72
  6. Step 6: Final answer
    x = 11,704.09

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1.5x scale

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.