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Finding the Fourth Proportional to 16,984.73, 23,441.71 and 9,911.13

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Solution

The fourth proportional to 16,984.73, 23,441.71 and 9,911.13 is: 13,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984.73 : 23,441.71 = 9,911.13 : x
  2. Step 2: Convert to fraction form
    16,984.73/23,441.71 = 9,911.13/x
  3. Step 3: Cross multiply
    16,984.73x = 23,441.71 × 9,911.13
  4. Step 4: Simplify right side
    16,984.73x = 232,333,835.23
  5. Step 5: Solve for x
    x = 232,333,835.23/16,984.73
  6. Step 6: Final answer
    x = 13,678.98

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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.