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Finding the Fourth Proportional to 14,862.57, 20,512.45 and 9,199.14

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Solution

The fourth proportional to 14,862.57, 20,512.45 and 9,199.14 is: 12,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862.57 : 20,512.45 = 9,199.14 : x
  2. Step 2: Convert to fraction form
    14,862.57/20,512.45 = 9,199.14/x
  3. Step 3: Cross multiply
    14,862.57x = 20,512.45 × 9,199.14
  4. Step 4: Simplify right side
    14,862.57x = 188,696,899.29
  5. Step 5: Solve for x
    x = 188,696,899.29/14,862.57
  6. Step 6: Final answer
    x = 12,696.12

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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.