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Finding the Fourth Proportional to 17,106.98, 23,606.73 and 9,654.50

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Solution

The fourth proportional to 17,106.98, 23,606.73 and 9,654.50 is: 13,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,106.98 : 23,606.73 = 9,654.50 : x
  2. Step 2: Convert to fraction form
    17,106.98/23,606.73 = 9,654.50/x
  3. Step 3: Cross multiply
    17,106.98x = 23,606.73 × 9,654.50
  4. Step 4: Simplify right side
    17,106.98x = 227,911,174.79
  5. Step 5: Solve for x
    x = 227,911,174.79/17,106.98
  6. Step 6: Final answer
    x = 13,322.70

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