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Finding the Fourth Proportional to 14,442.75, 21,664.13 and 4,054.50

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Solution

The fourth proportional to 14,442.75, 21,664.13 and 4,054.50 is: 6,081.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.75 : 21,664.13 = 4,054.50 : x
  2. Step 2: Convert to fraction form
    14,442.75/21,664.13 = 4,054.50/x
  3. Step 3: Cross multiply
    14,442.75x = 21,664.13 × 4,054.50
  4. Step 4: Simplify right side
    14,442.75x = 87,837,194.81
  5. Step 5: Solve for x
    x = 87,837,194.81/14,442.75
  6. Step 6: Final answer
    x = 6,081.75

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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.