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Finding the Fourth Proportional to 13,430.60, 20,129.70 and 6,853.40

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Solution

The fourth proportional to 13,430.60, 20,129.70 and 6,853.40 is: 10,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.60 : 20,129.70 = 6,853.40 : x
  2. Step 2: Convert to fraction form
    13,430.60/20,129.70 = 6,853.40/x
  3. Step 3: Cross multiply
    13,430.60x = 20,129.70 × 6,853.40
  4. Step 4: Simplify right side
    13,430.60x = 137,956,885.98
  5. Step 5: Solve for x
    x = 137,956,885.98/13,430.60
  6. Step 6: Final answer
    x = 10,271.83

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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.