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Finding the Fourth Proportional to 13,005.38, 19,507.98 and 5,214.08

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Solution

The fourth proportional to 13,005.38, 19,507.98 and 5,214.08 is: 7,821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.38 : 19,507.98 = 5,214.08 : x
  2. Step 2: Convert to fraction form
    13,005.38/19,507.98 = 5,214.08/x
  3. Step 3: Cross multiply
    13,005.38x = 19,507.98 × 5,214.08
  4. Step 4: Simplify right side
    13,005.38x = 101,716,168.36
  5. Step 5: Solve for x
    x = 101,716,168.36/13,005.38
  6. Step 6: Final answer
    x = 7,821.08

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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.