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Finding the Fourth Proportional to 14,949.51, 20,630.61 and 9,646.17

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Solution

The fourth proportional to 14,949.51, 20,630.61 and 9,646.17 is: 13,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,949.51 : 20,630.61 = 9,646.17 : x
  2. Step 2: Convert to fraction form
    14,949.51/20,630.61 = 9,646.17/x
  3. Step 3: Cross multiply
    14,949.51x = 20,630.61 × 9,646.17
  4. Step 4: Simplify right side
    14,949.51x = 199,006,371.26
  5. Step 5: Solve for x
    x = 199,006,371.26/14,949.51
  6. Step 6: Final answer
    x = 13,311.90

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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.