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Finding the Fourth Proportional to 13,903.36, 19,186.80 and 7,616

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Solution

The fourth proportional to 13,903.36, 19,186.80 and 7,616 is: 10,510.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.36 : 19,186.80 = 7,616 : x
  2. Step 2: Convert to fraction form
    13,903.36/19,186.80 = 7,616/x
  3. Step 3: Cross multiply
    13,903.36x = 19,186.80 × 7,616
  4. Step 4: Simplify right side
    13,903.36x = 146,126,668.80
  5. Step 5: Solve for x
    x = 146,126,668.80/13,903.36
  6. Step 6: Final answer
    x = 10,510.17

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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.