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Finding the Fourth Proportional to 12,592.09, 18,896.70 and 5,196.52

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Solution

The fourth proportional to 12,592.09, 18,896.70 and 5,196.52 is: 7,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.09 : 18,896.70 = 5,196.52 : x
  2. Step 2: Convert to fraction form
    12,592.09/18,896.70 = 5,196.52/x
  3. Step 3: Cross multiply
    12,592.09x = 18,896.70 × 5,196.52
  4. Step 4: Simplify right side
    12,592.09x = 98,196,985.00
  5. Step 5: Solve for x
    x = 98,196,985.00/12,592.09
  6. Step 6: Final answer
    x = 7,798.31

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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.