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Finding the Fourth Proportional to 13,600.16, 18,768.36 and 7,550.50

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Solution

The fourth proportional to 13,600.16, 18,768.36 and 7,550.50 is: 10,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.16 : 18,768.36 = 7,550.50 : x
  2. Step 2: Convert to fraction form
    13,600.16/18,768.36 = 7,550.50/x
  3. Step 3: Cross multiply
    13,600.16x = 18,768.36 × 7,550.50
  4. Step 4: Simplify right side
    13,600.16x = 141,710,502.18
  5. Step 5: Solve for x
    x = 141,710,502.18/13,600.16
  6. Step 6: Final answer
    x = 10,419.77

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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.