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Finding the Fourth Proportional to 16,975.44, 23,424.84 and 9,522

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Solution

The fourth proportional to 16,975.44, 23,424.84 and 9,522 is: 13,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,975.44 : 23,424.84 = 9,522 : x
  2. Step 2: Convert to fraction form
    16,975.44/23,424.84 = 9,522/x
  3. Step 3: Cross multiply
    16,975.44x = 23,424.84 × 9,522
  4. Step 4: Simplify right side
    16,975.44x = 223,051,326.48
  5. Step 5: Solve for x
    x = 223,051,326.48/16,975.44
  6. Step 6: Final answer
    x = 13,139.65

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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.