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Finding the Fourth Proportional to 17,106.66, 23,607.36 and 9,839.86

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Solution

The fourth proportional to 17,106.66, 23,607.36 and 9,839.86 is: 13,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,106.66 : 23,607.36 = 9,839.86 : x
  2. Step 2: Convert to fraction form
    17,106.66/23,607.36 = 9,839.86/x
  3. Step 3: Cross multiply
    17,106.66x = 23,607.36 × 9,839.86
  4. Step 4: Simplify right side
    17,106.66x = 232,293,117.37
  5. Step 5: Solve for x
    x = 232,293,117.37/17,106.66
  6. Step 6: Final answer
    x = 13,579.10

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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.