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Finding the Fourth Proportional to 17,842.66, 26,762.95 and 5,362.42

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Solution

The fourth proportional to 17,842.66, 26,762.95 and 5,362.42 is: 8,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.66 : 26,762.95 = 5,362.42 : x
  2. Step 2: Convert to fraction form
    17,842.66/26,762.95 = 5,362.42/x
  3. Step 3: Cross multiply
    17,842.66x = 26,762.95 × 5,362.42
  4. Step 4: Simplify right side
    17,842.66x = 143,514,178.34
  5. Step 5: Solve for x
    x = 143,514,178.34/17,842.66
  6. Step 6: Final answer
    x = 8,043.32

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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.