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Finding the Fourth Proportional to 12,317.40, 16,968.24 and 9,798.66

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Solution

The fourth proportional to 12,317.40, 16,968.24 and 9,798.66 is: 13,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.40 : 16,968.24 = 9,798.66 : x
  2. Step 2: Convert to fraction form
    12,317.40/16,968.24 = 9,798.66/x
  3. Step 3: Cross multiply
    12,317.40x = 16,968.24 × 9,798.66
  4. Step 4: Simplify right side
    12,317.40x = 166,266,014.56
  5. Step 5: Solve for x
    x = 166,266,014.56/12,317.40
  6. Step 6: Final answer
    x = 13,498.47

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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.