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Finding the Fourth Proportional to 17,894.16, 26,830.64 and 5,410.40

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Solution

The fourth proportional to 17,894.16, 26,830.64 and 5,410.40 is: 8,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,894.16 : 26,830.64 = 5,410.40 : x
  2. Step 2: Convert to fraction form
    17,894.16/26,830.64 = 5,410.40/x
  3. Step 3: Cross multiply
    17,894.16x = 26,830.64 × 5,410.40
  4. Step 4: Simplify right side
    17,894.16x = 145,164,494.66
  5. Step 5: Solve for x
    x = 145,164,494.66/17,894.16
  6. Step 6: Final answer
    x = 8,112.40

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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.