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Finding the Fourth Proportional to 17,762.25, 26,618.02 and 13,045.27

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Solution

The fourth proportional to 17,762.25, 26,618.02 and 13,045.27 is: 19,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.25 : 26,618.02 = 13,045.27 : x
  2. Step 2: Convert to fraction form
    17,762.25/26,618.02 = 13,045.27/x
  3. Step 3: Cross multiply
    17,762.25x = 26,618.02 × 13,045.27
  4. Step 4: Simplify right side
    17,762.25x = 347,239,192.54
  5. Step 5: Solve for x
    x = 347,239,192.54/17,762.25
  6. Step 6: Final answer
    x = 19,549.28

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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.