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Finding the Fourth Proportional to 30,267.51, 41,768.53 and 16,838.47

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Solution

The fourth proportional to 30,267.51, 41,768.53 and 16,838.47 is: 23,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267.51 : 41,768.53 = 16,838.47 : x
  2. Step 2: Convert to fraction form
    30,267.51/41,768.53 = 16,838.47/x
  3. Step 3: Cross multiply
    30,267.51x = 41,768.53 × 16,838.47
  4. Step 4: Simplify right side
    30,267.51x = 703,318,055.16
  5. Step 5: Solve for x
    x = 703,318,055.16/30,267.51
  6. Step 6: Final answer
    x = 23,236.74

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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.