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Finding the Fourth Proportional to 14,324.51, 19,770.28 and 8,356.16

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Solution

The fourth proportional to 14,324.51, 19,770.28 and 8,356.16 is: 11,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.51 : 19,770.28 = 8,356.16 : x
  2. Step 2: Convert to fraction form
    14,324.51/19,770.28 = 8,356.16/x
  3. Step 3: Cross multiply
    14,324.51x = 19,770.28 × 8,356.16
  4. Step 4: Simplify right side
    14,324.51x = 165,203,651.46
  5. Step 5: Solve for x
    x = 165,203,651.46/14,324.51
  6. Step 6: Final answer
    x = 11,532.93

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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.