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Finding the Fourth Proportional to 13,020, 19,533.33 and 3,786

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Solution

The fourth proportional to 13,020, 19,533.33 and 3,786 is: 5,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020 : 19,533.33 = 3,786 : x
  2. Step 2: Convert to fraction form
    13,020/19,533.33 = 3,786/x
  3. Step 3: Cross multiply
    13,020x = 19,533.33 × 3,786
  4. Step 4: Simplify right side
    13,020x = 73,953,187.38
  5. Step 5: Solve for x
    x = 73,953,187.38/13,020
  6. Step 6: Final answer
    x = 5,679.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.