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Finding the Fourth Proportional to 30,114.17, 41,555.81 and 16,684.63

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Solution

The fourth proportional to 30,114.17, 41,555.81 and 16,684.63 is: 23,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.17 : 41,555.81 = 16,684.63 : x
  2. Step 2: Convert to fraction form
    30,114.17/41,555.81 = 16,684.63/x
  3. Step 3: Cross multiply
    30,114.17x = 41,555.81 × 16,684.63
  4. Step 4: Simplify right side
    30,114.17x = 693,343,252.02
  5. Step 5: Solve for x
    x = 693,343,252.02/30,114.17
  6. Step 6: Final answer
    x = 23,023.82

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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.