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Finding the Fourth Proportional to 19,978.96, 27,564.38 and 12,909.54

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Solution

The fourth proportional to 19,978.96, 27,564.38 and 12,909.54 is: 17,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.96 : 27,564.38 = 12,909.54 : x
  2. Step 2: Convert to fraction form
    19,978.96/27,564.38 = 12,909.54/x
  3. Step 3: Cross multiply
    19,978.96x = 27,564.38 × 12,909.54
  4. Step 4: Simplify right side
    19,978.96x = 355,843,466.19
  5. Step 5: Solve for x
    x = 355,843,466.19/19,978.96
  6. Step 6: Final answer
    x = 17,810.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.