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Finding the Fourth Proportional to 30,106.13, 41,543.09 and 16,674

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Solution

The fourth proportional to 30,106.13, 41,543.09 and 16,674 is: 23,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.13 : 41,543.09 = 16,674 : x
  2. Step 2: Convert to fraction form
    30,106.13/41,543.09 = 16,674/x
  3. Step 3: Cross multiply
    30,106.13x = 41,543.09 × 16,674
  4. Step 4: Simplify right side
    30,106.13x = 692,689,399.29
  5. Step 5: Solve for x
    x = 692,689,399.29/30,106.13
  6. Step 6: Final answer
    x = 23,008.25

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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.