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Finding the Fourth Proportional to 17,894.64, 26,830.93 and 6,047.30

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Solution

The fourth proportional to 17,894.64, 26,830.93 and 6,047.30 is: 9,067.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,894.64 : 26,830.93 = 6,047.30 : x
  2. Step 2: Convert to fraction form
    17,894.64/26,830.93 = 6,047.30/x
  3. Step 3: Cross multiply
    17,894.64x = 26,830.93 × 6,047.30
  4. Step 4: Simplify right side
    17,894.64x = 162,254,634.81
  5. Step 5: Solve for x
    x = 162,254,634.81/17,894.64
  6. Step 6: Final answer
    x = 9,067.22

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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.