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Finding the Fourth Proportional to 13,214.54, 19,814.64 and 5,810.32

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Solution

The fourth proportional to 13,214.54, 19,814.64 and 5,810.32 is: 8,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.54 : 19,814.64 = 5,810.32 : x
  2. Step 2: Convert to fraction form
    13,214.54/19,814.64 = 5,810.32/x
  3. Step 3: Cross multiply
    13,214.54x = 19,814.64 × 5,810.32
  4. Step 4: Simplify right side
    13,214.54x = 115,129,399.08
  5. Step 5: Solve for x
    x = 115,129,399.08/13,214.54
  6. Step 6: Final answer
    x = 8,712.33

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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.