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Finding the Fourth Proportional to 13,483.84, 20,209.12 and 9,580

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Solution

The fourth proportional to 13,483.84, 20,209.12 and 9,580 is: 14,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,483.84 : 20,209.12 = 9,580 : x
  2. Step 2: Convert to fraction form
    13,483.84/20,209.12 = 9,580/x
  3. Step 3: Cross multiply
    13,483.84x = 20,209.12 × 9,580
  4. Step 4: Simplify right side
    13,483.84x = 193,603,369.60
  5. Step 5: Solve for x
    x = 193,603,369.60/13,483.84
  6. Step 6: Final answer
    x = 14,358.18

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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.