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Finding the Fourth Proportional to 21,193.30, 31,726.77 and 12,848.14

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Solution

The fourth proportional to 21,193.30, 31,726.77 and 12,848.14 is: 19,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.30 : 31,726.77 = 12,848.14 : x
  2. Step 2: Convert to fraction form
    21,193.30/31,726.77 = 12,848.14/x
  3. Step 3: Cross multiply
    21,193.30x = 31,726.77 × 12,848.14
  4. Step 4: Simplify right side
    21,193.30x = 407,629,982.71
  5. Step 5: Solve for x
    x = 407,629,982.71/21,193.30
  6. Step 6: Final answer
    x = 19,233.91

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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.