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Finding the Fourth Proportional to 25,543.31, 38,314.93 and 8,014.50

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Solution

The fourth proportional to 25,543.31, 38,314.93 and 8,014.50 is: 12,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,543.31 : 38,314.93 = 8,014.50 : x
  2. Step 2: Convert to fraction form
    25,543.31/38,314.93 = 8,014.50/x
  3. Step 3: Cross multiply
    25,543.31x = 38,314.93 × 8,014.50
  4. Step 4: Simplify right side
    25,543.31x = 307,075,006.49
  5. Step 5: Solve for x
    x = 307,075,006.49/25,543.31
  6. Step 6: Final answer
    x = 12,021.74

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Why These Related Problems?

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