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Finding the Fourth Proportional to 12,820.59, 19,232.71 and 4,056.19

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Solution

The fourth proportional to 12,820.59, 19,232.71 and 4,056.19 is: 6,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.59 : 19,232.71 = 4,056.19 : x
  2. Step 2: Convert to fraction form
    12,820.59/19,232.71 = 4,056.19/x
  3. Step 3: Cross multiply
    12,820.59x = 19,232.71 × 4,056.19
  4. Step 4: Simplify right side
    12,820.59x = 78,011,467.75
  5. Step 5: Solve for x
    x = 78,011,467.75/12,820.59
  6. Step 6: Final answer
    x = 6,084.86

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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.