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Finding the Fourth Proportional to 13,038.08, 17,992.32 and 7,448.96

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Solution

The fourth proportional to 13,038.08, 17,992.32 and 7,448.96 is: 10,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.08 : 17,992.32 = 7,448.96 : x
  2. Step 2: Convert to fraction form
    13,038.08/17,992.32 = 7,448.96/x
  3. Step 3: Cross multiply
    13,038.08x = 17,992.32 × 7,448.96
  4. Step 4: Simplify right side
    13,038.08x = 134,024,071.99
  5. Step 5: Solve for x
    x = 134,024,071.99/13,038.08
  6. Step 6: Final answer
    x = 10,279.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.