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Finding the Fourth Proportional to 21,822.84, 30,114.18 and 12,870.72

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Solution

The fourth proportional to 21,822.84, 30,114.18 and 12,870.72 is: 17,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822.84 : 30,114.18 = 12,870.72 : x
  2. Step 2: Convert to fraction form
    21,822.84/30,114.18 = 12,870.72/x
  3. Step 3: Cross multiply
    21,822.84x = 30,114.18 × 12,870.72
  4. Step 4: Simplify right side
    21,822.84x = 387,591,178.81
  5. Step 5: Solve for x
    x = 387,591,178.81/21,822.84
  6. Step 6: Final answer
    x = 17,760.80

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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.