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Finding the Fourth Proportional to 16,720.22, 23,074.16 and 10,006.14

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Solution

The fourth proportional to 16,720.22, 23,074.16 and 10,006.14 is: 13,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,720.22 : 23,074.16 = 10,006.14 : x
  2. Step 2: Convert to fraction form
    16,720.22/23,074.16 = 10,006.14/x
  3. Step 3: Cross multiply
    16,720.22x = 23,074.16 × 10,006.14
  4. Step 4: Simplify right side
    16,720.22x = 230,883,275.34
  5. Step 5: Solve for x
    x = 230,883,275.34/16,720.22
  6. Step 6: Final answer
    x = 13,808.63

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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.