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Finding the Fourth Proportional to 14,212.08, 21,322.50 and 5,896

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Solution

The fourth proportional to 14,212.08, 21,322.50 and 5,896 is: 8,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.08 : 21,322.50 = 5,896 : x
  2. Step 2: Convert to fraction form
    14,212.08/21,322.50 = 5,896/x
  3. Step 3: Cross multiply
    14,212.08x = 21,322.50 × 5,896
  4. Step 4: Simplify right side
    14,212.08x = 125,717,460
  5. Step 5: Solve for x
    x = 125,717,460/14,212.08
  6. Step 6: Final answer
    x = 8,845.82

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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.