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Finding the Fourth Proportional to 14,424.66, 19,874.34 and 9,700.74

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Solution

The fourth proportional to 14,424.66, 19,874.34 and 9,700.74 is: 13,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.66 : 19,874.34 = 9,700.74 : x
  2. Step 2: Convert to fraction form
    14,424.66/19,874.34 = 9,700.74/x
  3. Step 3: Cross multiply
    14,424.66x = 19,874.34 × 9,700.74
  4. Step 4: Simplify right side
    14,424.66x = 192,795,805.01
  5. Step 5: Solve for x
    x = 192,795,805.01/14,424.66
  6. Step 6: Final answer
    x = 13,365.71

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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.