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Finding the Fourth Proportional to 16,538.34, 22,824.77 and 9,368.75

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Solution

The fourth proportional to 16,538.34, 22,824.77 and 9,368.75 is: 12,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.34 : 22,824.77 = 9,368.75 : x
  2. Step 2: Convert to fraction form
    16,538.34/22,824.77 = 9,368.75/x
  3. Step 3: Cross multiply
    16,538.34x = 22,824.77 × 9,368.75
  4. Step 4: Simplify right side
    16,538.34x = 213,839,473.24
  5. Step 5: Solve for x
    x = 213,839,473.24/16,538.34
  6. Step 6: Final answer
    x = 12,929.92

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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.