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Finding the Fourth Proportional to 12,861.22, 19,293 and 5,068.24

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Solution

The fourth proportional to 12,861.22, 19,293 and 5,068.24 is: 7,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.22 : 19,293 = 5,068.24 : x
  2. Step 2: Convert to fraction form
    12,861.22/19,293 = 5,068.24/x
  3. Step 3: Cross multiply
    12,861.22x = 19,293 × 5,068.24
  4. Step 4: Simplify right side
    12,861.22x = 97,781,554.32
  5. Step 5: Solve for x
    x = 97,781,554.32/12,861.22
  6. Step 6: Final answer
    x = 7,602.82

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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.