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Finding the Fourth Proportional to 13,694.93, 18,899.01 and 7,407.30

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Solution

The fourth proportional to 13,694.93, 18,899.01 and 7,407.30 is: 10,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.93 : 18,899.01 = 7,407.30 : x
  2. Step 2: Convert to fraction form
    13,694.93/18,899.01 = 7,407.30/x
  3. Step 3: Cross multiply
    13,694.93x = 18,899.01 × 7,407.30
  4. Step 4: Simplify right side
    13,694.93x = 139,990,636.77
  5. Step 5: Solve for x
    x = 139,990,636.77/13,694.93
  6. Step 6: Final answer
    x = 10,222.08

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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.