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Finding the Fourth Proportional to 13,037.49, 17,994.54 and 10,199.25

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Solution

The fourth proportional to 13,037.49, 17,994.54 and 10,199.25 is: 14,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.49 : 17,994.54 = 10,199.25 : x
  2. Step 2: Convert to fraction form
    13,037.49/17,994.54 = 10,199.25/x
  3. Step 3: Cross multiply
    13,037.49x = 17,994.54 × 10,199.25
  4. Step 4: Simplify right side
    13,037.49x = 183,530,812.10
  5. Step 5: Solve for x
    x = 183,530,812.10/13,037.49
  6. Step 6: Final answer
    x = 14,077.16

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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.