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Finding the Fourth Proportional to 21,042.91, 31,606.40 and 13,159.45

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Solution

The fourth proportional to 21,042.91, 31,606.40 and 13,159.45 is: 19,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042.91 : 31,606.40 = 13,159.45 : x
  2. Step 2: Convert to fraction form
    21,042.91/31,606.40 = 13,159.45/x
  3. Step 3: Cross multiply
    21,042.91x = 31,606.40 × 13,159.45
  4. Step 4: Simplify right side
    21,042.91x = 415,922,840.48
  5. Step 5: Solve for x
    x = 415,922,840.48/21,042.91
  6. Step 6: Final answer
    x = 19,765.46

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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.