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Finding the Fourth Proportional to 13,718.58, 20,573.80 and 5,820.98

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Solution

The fourth proportional to 13,718.58, 20,573.80 and 5,820.98 is: 8,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.58 : 20,573.80 = 5,820.98 : x
  2. Step 2: Convert to fraction form
    13,718.58/20,573.80 = 5,820.98/x
  3. Step 3: Cross multiply
    13,718.58x = 20,573.80 × 5,820.98
  4. Step 4: Simplify right side
    13,718.58x = 119,759,678.32
  5. Step 5: Solve for x
    x = 119,759,678.32/13,718.58
  6. Step 6: Final answer
    x = 8,729.74

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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.