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Finding the Fourth Proportional to 13,122.64, 19,664.88 and 8,114.32

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Solution

The fourth proportional to 13,122.64, 19,664.88 and 8,114.32 is: 12,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.64 : 19,664.88 = 8,114.32 : x
  2. Step 2: Convert to fraction form
    13,122.64/19,664.88 = 8,114.32/x
  3. Step 3: Cross multiply
    13,122.64x = 19,664.88 × 8,114.32
  4. Step 4: Simplify right side
    13,122.64x = 159,567,129.08
  5. Step 5: Solve for x
    x = 159,567,129.08/13,122.64
  6. Step 6: Final answer
    x = 12,159.68

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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.