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Finding the Fourth Proportional to 21,435.52, 29,580.96 and 12,004

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Solution

The fourth proportional to 21,435.52, 29,580.96 and 12,004 is: 16,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,435.52 : 29,580.96 = 12,004 : x
  2. Step 2: Convert to fraction form
    21,435.52/29,580.96 = 12,004/x
  3. Step 3: Cross multiply
    21,435.52x = 29,580.96 × 12,004
  4. Step 4: Simplify right side
    21,435.52x = 355,089,843.84
  5. Step 5: Solve for x
    x = 355,089,843.84/21,435.52
  6. Step 6: Final answer
    x = 16,565.49

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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.