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Finding the Fourth Proportional to 14,513.72, 21,760.85 and 8,280.68

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Solution

The fourth proportional to 14,513.72, 21,760.85 and 8,280.68 is: 12,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.72 : 21,760.85 = 8,280.68 : x
  2. Step 2: Convert to fraction form
    14,513.72/21,760.85 = 8,280.68/x
  3. Step 3: Cross multiply
    14,513.72x = 21,760.85 × 8,280.68
  4. Step 4: Simplify right side
    14,513.72x = 180,194,547.28
  5. Step 5: Solve for x
    x = 180,194,547.28/14,513.72
  6. Step 6: Final answer
    x = 12,415.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.