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Finding the Fourth Proportional to 14,307.80, 21,468.10 and 6,512.60

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Solution

The fourth proportional to 14,307.80, 21,468.10 and 6,512.60 is: 9,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.80 : 21,468.10 = 6,512.60 : x
  2. Step 2: Convert to fraction form
    14,307.80/21,468.10 = 6,512.60/x
  3. Step 3: Cross multiply
    14,307.80x = 21,468.10 × 6,512.60
  4. Step 4: Simplify right side
    14,307.80x = 139,813,148.06
  5. Step 5: Solve for x
    x = 139,813,148.06/14,307.80
  6. Step 6: Final answer
    x = 9,771.81

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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.