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Finding the Fourth Proportional to 13,141.17, 19,712.70 and 4,134.51

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Solution

The fourth proportional to 13,141.17, 19,712.70 and 4,134.51 is: 6,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.17 : 19,712.70 = 4,134.51 : x
  2. Step 2: Convert to fraction form
    13,141.17/19,712.70 = 4,134.51/x
  3. Step 3: Cross multiply
    13,141.17x = 19,712.70 × 4,134.51
  4. Step 4: Simplify right side
    13,141.17x = 81,502,355.28
  5. Step 5: Solve for x
    x = 81,502,355.28/13,141.17
  6. Step 6: Final answer
    x = 6,202.06

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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.