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Finding the Fourth Proportional to 12,881.60, 19,322.40 and 5,486.30

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Solution

The fourth proportional to 12,881.60, 19,322.40 and 5,486.30 is: 8,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.60 : 19,322.40 = 5,486.30 : x
  2. Step 2: Convert to fraction form
    12,881.60/19,322.40 = 5,486.30/x
  3. Step 3: Cross multiply
    12,881.60x = 19,322.40 × 5,486.30
  4. Step 4: Simplify right side
    12,881.60x = 106,008,483.12
  5. Step 5: Solve for x
    x = 106,008,483.12/12,881.60
  6. Step 6: Final answer
    x = 8,229.45

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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.