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Finding the Fourth Proportional to 30,237, 41,727.06 and 17,661.84

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Solution

The fourth proportional to 30,237, 41,727.06 and 17,661.84 is: 24,373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,237 : 41,727.06 = 17,661.84 : x
  2. Step 2: Convert to fraction form
    30,237/41,727.06 = 17,661.84/x
  3. Step 3: Cross multiply
    30,237x = 41,727.06 × 17,661.84
  4. Step 4: Simplify right side
    30,237x = 736,976,657.39
  5. Step 5: Solve for x
    x = 736,976,657.39/30,237
  6. Step 6: Final answer
    x = 24,373.34

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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.