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Finding the Fourth Proportional to 22,300.02, 30,774.02 and 12,228.63

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Solution

The fourth proportional to 22,300.02, 30,774.02 and 12,228.63 is: 16,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300.02 : 30,774.02 = 12,228.63 : x
  2. Step 2: Convert to fraction form
    22,300.02/30,774.02 = 12,228.63/x
  3. Step 3: Cross multiply
    22,300.02x = 30,774.02 × 12,228.63
  4. Step 4: Simplify right side
    22,300.02x = 376,324,043.05
  5. Step 5: Solve for x
    x = 376,324,043.05/22,300.02
  6. Step 6: Final answer
    x = 16,875.50

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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.