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Finding the Fourth Proportional to 12,954.90, 19,427.58 and 4,632.66

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Solution

The fourth proportional to 12,954.90, 19,427.58 and 4,632.66 is: 6,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.90 : 19,427.58 = 4,632.66 : x
  2. Step 2: Convert to fraction form
    12,954.90/19,427.58 = 4,632.66/x
  3. Step 3: Cross multiply
    12,954.90x = 19,427.58 × 4,632.66
  4. Step 4: Simplify right side
    12,954.90x = 90,001,372.76
  5. Step 5: Solve for x
    x = 90,001,372.76/12,954.90
  6. Step 6: Final answer
    x = 6,947.28

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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.