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Finding the Fourth Proportional to 13,421.40, 20,153.70 and 9,749.40

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Solution

The fourth proportional to 13,421.40, 20,153.70 and 9,749.40 is: 14,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.40 : 20,153.70 = 9,749.40 : x
  2. Step 2: Convert to fraction form
    13,421.40/20,153.70 = 9,749.40/x
  3. Step 3: Cross multiply
    13,421.40x = 20,153.70 × 9,749.40
  4. Step 4: Simplify right side
    13,421.40x = 196,486,482.78
  5. Step 5: Solve for x
    x = 196,486,482.78/13,421.40
  6. Step 6: Final answer
    x = 14,639.79

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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.