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Finding the Fourth Proportional to 13,736.34, 18,956.07 and 7,448.58

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Solution

The fourth proportional to 13,736.34, 18,956.07 and 7,448.58 is: 10,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736.34 : 18,956.07 = 7,448.58 : x
  2. Step 2: Convert to fraction form
    13,736.34/18,956.07 = 7,448.58/x
  3. Step 3: Cross multiply
    13,736.34x = 18,956.07 × 7,448.58
  4. Step 4: Simplify right side
    13,736.34x = 141,195,803.88
  5. Step 5: Solve for x
    x = 141,195,803.88/13,736.34
  6. Step 6: Final answer
    x = 10,279.00

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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.