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Finding the Fourth Proportional to 14,853.60, 20,511.84 and 9,557.64

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Solution

The fourth proportional to 14,853.60, 20,511.84 and 9,557.64 is: 13,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.60 : 20,511.84 = 9,557.64 : x
  2. Step 2: Convert to fraction form
    14,853.60/20,511.84 = 9,557.64/x
  3. Step 3: Cross multiply
    14,853.60x = 20,511.84 × 9,557.64
  4. Step 4: Simplify right side
    14,853.60x = 196,044,782.46
  5. Step 5: Solve for x
    x = 196,044,782.46/14,853.60
  6. Step 6: Final answer
    x = 13,198.47

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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.