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Finding the Fourth Proportional to 21,159.72, 31,705.02 and 13,343.40

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Solution

The fourth proportional to 21,159.72, 31,705.02 and 13,343.40 is: 19,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159.72 : 31,705.02 = 13,343.40 : x
  2. Step 2: Convert to fraction form
    21,159.72/31,705.02 = 13,343.40/x
  3. Step 3: Cross multiply
    21,159.72x = 31,705.02 × 13,343.40
  4. Step 4: Simplify right side
    21,159.72x = 423,052,763.87
  5. Step 5: Solve for x
    x = 423,052,763.87/21,159.72
  6. Step 6: Final answer
    x = 19,993.31

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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.