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Finding the Fourth Proportional to 13,370.17, 18,451.51 and 7,705.84

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Solution

The fourth proportional to 13,370.17, 18,451.51 and 7,705.84 is: 10,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,370.17 : 18,451.51 = 7,705.84 : x
  2. Step 2: Convert to fraction form
    13,370.17/18,451.51 = 7,705.84/x
  3. Step 3: Cross multiply
    13,370.17x = 18,451.51 × 7,705.84
  4. Step 4: Simplify right side
    13,370.17x = 142,184,396.37
  5. Step 5: Solve for x
    x = 142,184,396.37/13,370.17
  6. Step 6: Final answer
    x = 10,634.45

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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.