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Finding the Fourth Proportional to 13,270, 19,905.50 and 4,952.12

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Solution

The fourth proportional to 13,270, 19,905.50 and 4,952.12 is: 7,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270 : 19,905.50 = 4,952.12 : x
  2. Step 2: Convert to fraction form
    13,270/19,905.50 = 4,952.12/x
  3. Step 3: Cross multiply
    13,270x = 19,905.50 × 4,952.12
  4. Step 4: Simplify right side
    13,270x = 98,574,424.66
  5. Step 5: Solve for x
    x = 98,574,424.66/13,270
  6. Step 6: Final answer
    x = 7,428.37

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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.