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Finding the Fourth Proportional to 14,785.63, 20,403.87 and 8,071.23

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Solution

The fourth proportional to 14,785.63, 20,403.87 and 8,071.23 is: 11,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.63 : 20,403.87 = 8,071.23 : x
  2. Step 2: Convert to fraction form
    14,785.63/20,403.87 = 8,071.23/x
  3. Step 3: Cross multiply
    14,785.63x = 20,403.87 × 8,071.23
  4. Step 4: Simplify right side
    14,785.63x = 164,684,373.91
  5. Step 5: Solve for x
    x = 164,684,373.91/14,785.63
  6. Step 6: Final answer
    x = 11,138.14

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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.