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Finding the Fourth Proportional to 21,842.84, 30,143.40 and 12,412.28

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Solution

The fourth proportional to 21,842.84, 30,143.40 and 12,412.28 is: 17,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.84 : 30,143.40 = 12,412.28 : x
  2. Step 2: Convert to fraction form
    21,842.84/30,143.40 = 12,412.28/x
  3. Step 3: Cross multiply
    21,842.84x = 30,143.40 × 12,412.28
  4. Step 4: Simplify right side
    21,842.84x = 374,148,320.95
  5. Step 5: Solve for x
    x = 374,148,320.95/21,842.84
  6. Step 6: Final answer
    x = 17,129.11

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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.