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Finding the Fourth Proportional to 12,881.80, 19,322.70 and 9,771.40

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Solution

The fourth proportional to 12,881.80, 19,322.70 and 9,771.40 is: 14,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.80 : 19,322.70 = 9,771.40 : x
  2. Step 2: Convert to fraction form
    12,881.80/19,322.70 = 9,771.40/x
  3. Step 3: Cross multiply
    12,881.80x = 19,322.70 × 9,771.40
  4. Step 4: Simplify right side
    12,881.80x = 188,809,830.78
  5. Step 5: Solve for x
    x = 188,809,830.78/12,881.80
  6. Step 6: Final answer
    x = 14,657.10

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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.