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Finding the Fourth Proportional to 16,451.13, 22,697.24 and 10,071.08

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Solution

The fourth proportional to 16,451.13, 22,697.24 and 10,071.08 is: 13,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,451.13 : 22,697.24 = 10,071.08 : x
  2. Step 2: Convert to fraction form
    16,451.13/22,697.24 = 10,071.08/x
  3. Step 3: Cross multiply
    16,451.13x = 22,697.24 × 10,071.08
  4. Step 4: Simplify right side
    16,451.13x = 228,585,555.98
  5. Step 5: Solve for x
    x = 228,585,555.98/16,451.13
  6. Step 6: Final answer
    x = 13,894.82

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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.