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Finding the Fourth Proportional to 17,698.59, 24,424.23 and 9,741.00

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Solution

The fourth proportional to 17,698.59, 24,424.23 and 9,741.00 is: 13,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.59 : 24,424.23 = 9,741.00 : x
  2. Step 2: Convert to fraction form
    17,698.59/24,424.23 = 9,741.00/x
  3. Step 3: Cross multiply
    17,698.59x = 24,424.23 × 9,741.00
  4. Step 4: Simplify right side
    17,698.59x = 237,916,485.49
  5. Step 5: Solve for x
    x = 237,916,485.49/17,698.59
  6. Step 6: Final answer
    x = 13,442.68

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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.