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Finding the Fourth Proportional to 13,164.31, 19,746.47 and 3,930.31

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Solution

The fourth proportional to 13,164.31, 19,746.47 and 3,930.31 is: 5,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.31 : 19,746.47 = 3,930.31 : x
  2. Step 2: Convert to fraction form
    13,164.31/19,746.47 = 3,930.31/x
  3. Step 3: Cross multiply
    13,164.31x = 19,746.47 × 3,930.31
  4. Step 4: Simplify right side
    13,164.31x = 77,609,748.51
  5. Step 5: Solve for x
    x = 77,609,748.51/13,164.31
  6. Step 6: Final answer
    x = 5,895.47

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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.