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Finding the Fourth Proportional to 17,303, 23,878.22 and 9,851

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Solution

The fourth proportional to 17,303, 23,878.22 and 9,851 is: 13,594.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,303 : 23,878.22 = 9,851 : x
  2. Step 2: Convert to fraction form
    17,303/23,878.22 = 9,851/x
  3. Step 3: Cross multiply
    17,303x = 23,878.22 × 9,851
  4. Step 4: Simplify right side
    17,303x = 235,224,345.22
  5. Step 5: Solve for x
    x = 235,224,345.22/17,303
  6. Step 6: Final answer
    x = 13,594.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.