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Finding the Fourth Proportional to 13,024.64, 19,530.88 and 6,448.26

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Solution

The fourth proportional to 13,024.64, 19,530.88 and 6,448.26 is: 9,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.64 : 19,530.88 = 6,448.26 : x
  2. Step 2: Convert to fraction form
    13,024.64/19,530.88 = 6,448.26/x
  3. Step 3: Cross multiply
    13,024.64x = 19,530.88 × 6,448.26
  4. Step 4: Simplify right side
    13,024.64x = 125,940,192.27
  5. Step 5: Solve for x
    x = 125,940,192.27/13,024.64
  6. Step 6: Final answer
    x = 9,669.38

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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.