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Finding the Fourth Proportional to 16,534.95, 22,809.48 and 10,474.49

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Solution

The fourth proportional to 16,534.95, 22,809.48 and 10,474.49 is: 14,449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.95 : 22,809.48 = 10,474.49 : x
  2. Step 2: Convert to fraction form
    16,534.95/22,809.48 = 10,474.49/x
  3. Step 3: Cross multiply
    16,534.95x = 22,809.48 × 10,474.49
  4. Step 4: Simplify right side
    16,534.95x = 238,917,742.03
  5. Step 5: Solve for x
    x = 238,917,742.03/16,534.95
  6. Step 6: Final answer
    x = 14,449.26

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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.