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Finding the Fourth Proportional to 30,187.86, 41,657.16 and 16,758.06

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Solution

The fourth proportional to 30,187.86, 41,657.16 and 16,758.06 is: 23,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,187.86 : 41,657.16 = 16,758.06 : x
  2. Step 2: Convert to fraction form
    30,187.86/41,657.16 = 16,758.06/x
  3. Step 3: Cross multiply
    30,187.86x = 41,657.16 × 16,758.06
  4. Step 4: Simplify right side
    30,187.86x = 698,093,186.71
  5. Step 5: Solve for x
    x = 698,093,186.71/30,187.86
  6. Step 6: Final answer
    x = 23,124.96

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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.