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Finding the Fourth Proportional to 21,548.34, 29,726.73 and 12,596.22

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Solution

The fourth proportional to 21,548.34, 29,726.73 and 12,596.22 is: 17,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548.34 : 29,726.73 = 12,596.22 : x
  2. Step 2: Convert to fraction form
    21,548.34/29,726.73 = 12,596.22/x
  3. Step 3: Cross multiply
    21,548.34x = 29,726.73 × 12,596.22
  4. Step 4: Simplify right side
    21,548.34x = 374,444,430.96
  5. Step 5: Solve for x
    x = 374,444,430.96/21,548.34
  6. Step 6: Final answer
    x = 17,376.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.