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Finding the Fourth Proportional to 16,732.94, 23,091.10 and 9,280.94

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Solution

The fourth proportional to 16,732.94, 23,091.10 and 9,280.94 is: 12,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732.94 : 23,091.10 = 9,280.94 : x
  2. Step 2: Convert to fraction form
    16,732.94/23,091.10 = 9,280.94/x
  3. Step 3: Cross multiply
    16,732.94x = 23,091.10 × 9,280.94
  4. Step 4: Simplify right side
    16,732.94x = 214,307,113.63
  5. Step 5: Solve for x
    x = 214,307,113.63/16,732.94
  6. Step 6: Final answer
    x = 12,807.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.