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Finding the Fourth Proportional to 13,634.40, 20,408.40 and 9,746.40

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Solution

The fourth proportional to 13,634.40, 20,408.40 and 9,746.40 is: 14,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.40 : 20,408.40 = 9,746.40 : x
  2. Step 2: Convert to fraction form
    13,634.40/20,408.40 = 9,746.40/x
  3. Step 3: Cross multiply
    13,634.40x = 20,408.40 × 9,746.40
  4. Step 4: Simplify right side
    13,634.40x = 198,908,429.76
  5. Step 5: Solve for x
    x = 198,908,429.76/13,634.40
  6. Step 6: Final answer
    x = 14,588.72

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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.