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Finding the Fourth Proportional to 12,812.60, 19,220.88 and 5,417.09

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Solution

The fourth proportional to 12,812.60, 19,220.88 and 5,417.09 is: 8,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.60 : 19,220.88 = 5,417.09 : x
  2. Step 2: Convert to fraction form
    12,812.60/19,220.88 = 5,417.09/x
  3. Step 3: Cross multiply
    12,812.60x = 19,220.88 × 5,417.09
  4. Step 4: Simplify right side
    12,812.60x = 104,121,236.84
  5. Step 5: Solve for x
    x = 104,121,236.84/12,812.60
  6. Step 6: Final answer
    x = 8,126.47

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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.