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Finding the Fourth Proportional to 14,633.76, 20,196.50 and 9,602.28

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Solution

The fourth proportional to 14,633.76, 20,196.50 and 9,602.28 is: 13,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633.76 : 20,196.50 = 9,602.28 : x
  2. Step 2: Convert to fraction form
    14,633.76/20,196.50 = 9,602.28/x
  3. Step 3: Cross multiply
    14,633.76x = 20,196.50 × 9,602.28
  4. Step 4: Simplify right side
    14,633.76x = 193,932,448.02
  5. Step 5: Solve for x
    x = 193,932,448.02/14,633.76
  6. Step 6: Final answer
    x = 13,252.40

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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.