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Finding the Fourth Proportional to 14,594.36, 21,892.01 and 5,709.34

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Solution

The fourth proportional to 14,594.36, 21,892.01 and 5,709.34 is: 8,564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.36 : 21,892.01 = 5,709.34 : x
  2. Step 2: Convert to fraction form
    14,594.36/21,892.01 = 5,709.34/x
  3. Step 3: Cross multiply
    14,594.36x = 21,892.01 × 5,709.34
  4. Step 4: Simplify right side
    14,594.36x = 124,988,928.37
  5. Step 5: Solve for x
    x = 124,988,928.37/14,594.36
  6. Step 6: Final answer
    x = 8,564.19

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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.