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Finding the Fourth Proportional to 12,403.44, 17,099.64 and 9,894.06

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Solution

The fourth proportional to 12,403.44, 17,099.64 and 9,894.06 is: 13,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.44 : 17,099.64 = 9,894.06 : x
  2. Step 2: Convert to fraction form
    12,403.44/17,099.64 = 9,894.06/x
  3. Step 3: Cross multiply
    12,403.44x = 17,099.64 × 9,894.06
  4. Step 4: Simplify right side
    12,403.44x = 169,184,864.14
  5. Step 5: Solve for x
    x = 169,184,864.14/12,403.44
  6. Step 6: Final answer
    x = 13,640.16

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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.