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Finding the Fourth Proportional to 12,594.24, 18,865.44 and 7,397.28

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Solution

The fourth proportional to 12,594.24, 18,865.44 and 7,397.28 is: 11,080.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.24 : 18,865.44 = 7,397.28 : x
  2. Step 2: Convert to fraction form
    12,594.24/18,865.44 = 7,397.28/x
  3. Step 3: Cross multiply
    12,594.24x = 18,865.44 × 7,397.28
  4. Step 4: Simplify right side
    12,594.24x = 139,552,942.00
  5. Step 5: Solve for x
    x = 139,552,942.00/12,594.24
  6. Step 6: Final answer
    x = 11,080.70

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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.