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Finding the Fourth Proportional to 16,071.42, 22,172.94 and 9,695.46

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Solution

The fourth proportional to 16,071.42, 22,172.94 and 9,695.46 is: 13,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.42 : 22,172.94 = 9,695.46 : x
  2. Step 2: Convert to fraction form
    16,071.42/22,172.94 = 9,695.46/x
  3. Step 3: Cross multiply
    16,071.42x = 22,172.94 × 9,695.46
  4. Step 4: Simplify right side
    16,071.42x = 214,976,852.85
  5. Step 5: Solve for x
    x = 214,976,852.85/16,071.42
  6. Step 6: Final answer
    x = 13,376.34

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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.