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Finding the Fourth Proportional to 13,698.70, 20,538.76 and 5,373.52

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Solution

The fourth proportional to 13,698.70, 20,538.76 and 5,373.52 is: 8,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.70 : 20,538.76 = 5,373.52 : x
  2. Step 2: Convert to fraction form
    13,698.70/20,538.76 = 5,373.52/x
  3. Step 3: Cross multiply
    13,698.70x = 20,538.76 × 5,373.52
  4. Step 4: Simplify right side
    13,698.70x = 110,365,437.64
  5. Step 5: Solve for x
    x = 110,365,437.64/13,698.70
  6. Step 6: Final answer
    x = 8,056.64

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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.