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Finding the Fourth Proportional to 13,501, 18,632.10 and 7,913.80

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Solution

The fourth proportional to 13,501, 18,632.10 and 7,913.80 is: 10,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501 : 18,632.10 = 7,913.80 : x
  2. Step 2: Convert to fraction form
    13,501/18,632.10 = 7,913.80/x
  3. Step 3: Cross multiply
    13,501x = 18,632.10 × 7,913.80
  4. Step 4: Simplify right side
    13,501x = 147,450,712.98
  5. Step 5: Solve for x
    x = 147,450,712.98/13,501
  6. Step 6: Final answer
    x = 10,921.47

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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.