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Finding the Fourth Proportional to 19,600.57, 29,545.51 and 18,457.48

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Solution

The fourth proportional to 19,600.57, 29,545.51 and 18,457.48 is: 27,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,600.57 : 29,545.51 = 18,457.48 : x
  2. Step 2: Convert to fraction form
    19,600.57/29,545.51 = 18,457.48/x
  3. Step 3: Cross multiply
    19,600.57x = 29,545.51 × 18,457.48
  4. Step 4: Simplify right side
    19,600.57x = 545,335,419.90
  5. Step 5: Solve for x
    x = 545,335,419.90/19,600.57
  6. Step 6: Final answer
    x = 27,822.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.