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Finding the Fourth Proportional to 28,232.14, 42,364.61 and 12,649.77

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Solution

The fourth proportional to 28,232.14, 42,364.61 and 12,649.77 is: 18,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,232.14 : 42,364.61 = 12,649.77 : x
  2. Step 2: Convert to fraction form
    28,232.14/42,364.61 = 12,649.77/x
  3. Step 3: Cross multiply
    28,232.14x = 42,364.61 × 12,649.77
  4. Step 4: Simplify right side
    28,232.14x = 535,902,360.82
  5. Step 5: Solve for x
    x = 535,902,360.82/28,232.14
  6. Step 6: Final answer
    x = 18,982.00

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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.