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Finding the Fourth Proportional to 15,690.34, 23,543.21 and 6,914.80

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Solution

The fourth proportional to 15,690.34, 23,543.21 and 6,914.80 is: 10,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,690.34 : 23,543.21 = 6,914.80 : x
  2. Step 2: Convert to fraction form
    15,690.34/23,543.21 = 6,914.80/x
  3. Step 3: Cross multiply
    15,690.34x = 23,543.21 × 6,914.80
  4. Step 4: Simplify right side
    15,690.34x = 162,796,588.51
  5. Step 5: Solve for x
    x = 162,796,588.51/15,690.34
  6. Step 6: Final answer
    x = 10,375.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.