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Finding the Fourth Proportional to 13,595.40, 20,376.90 and 5,697.90

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Solution

The fourth proportional to 13,595.40, 20,376.90 and 5,697.90 is: 8,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,595.40 : 20,376.90 = 5,697.90 : x
  2. Step 2: Convert to fraction form
    13,595.40/20,376.90 = 5,697.90/x
  3. Step 3: Cross multiply
    13,595.40x = 20,376.90 × 5,697.90
  4. Step 4: Simplify right side
    13,595.40x = 116,105,538.51
  5. Step 5: Solve for x
    x = 116,105,538.51/13,595.40
  6. Step 6: Final answer
    x = 8,540.06

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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.