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Finding the Fourth Proportional to 19,094.92, 28,649.94 and 7,411.48

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Solution

The fourth proportional to 19,094.92, 28,649.94 and 7,411.48 is: 11,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,094.92 : 28,649.94 = 7,411.48 : x
  2. Step 2: Convert to fraction form
    19,094.92/28,649.94 = 7,411.48/x
  3. Step 3: Cross multiply
    19,094.92x = 28,649.94 × 7,411.48
  4. Step 4: Simplify right side
    19,094.92x = 212,338,457.31
  5. Step 5: Solve for x
    x = 212,338,457.31/19,094.92
  6. Step 6: Final answer
    x = 11,120.15

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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.