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Finding the Fourth Proportional to 17,854.48, 26,783.16 and 5,542.48

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Solution

The fourth proportional to 17,854.48, 26,783.16 and 5,542.48 is: 8,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.48 : 26,783.16 = 5,542.48 : x
  2. Step 2: Convert to fraction form
    17,854.48/26,783.16 = 5,542.48/x
  3. Step 3: Cross multiply
    17,854.48x = 26,783.16 × 5,542.48
  4. Step 4: Simplify right side
    17,854.48x = 148,445,128.64
  5. Step 5: Solve for x
    x = 148,445,128.64/17,854.48
  6. Step 6: Final answer
    x = 8,314.17

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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.