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Finding the Fourth Proportional to 14,415.84, 19,905.12 and 11,280.96

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Solution

The fourth proportional to 14,415.84, 19,905.12 and 11,280.96 is: 15,576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.84 : 19,905.12 = 11,280.96 : x
  2. Step 2: Convert to fraction form
    14,415.84/19,905.12 = 11,280.96/x
  3. Step 3: Cross multiply
    14,415.84x = 19,905.12 × 11,280.96
  4. Step 4: Simplify right side
    14,415.84x = 224,548,862.52
  5. Step 5: Solve for x
    x = 224,548,862.52/14,415.84
  6. Step 6: Final answer
    x = 15,576.54

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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.