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Finding the Fourth Proportional to 16,852.94, 23,257.06 and 9,400.94

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Solution

The fourth proportional to 16,852.94, 23,257.06 and 9,400.94 is: 12,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.94 : 23,257.06 = 9,400.94 : x
  2. Step 2: Convert to fraction form
    16,852.94/23,257.06 = 9,400.94/x
  3. Step 3: Cross multiply
    16,852.94x = 23,257.06 × 9,400.94
  4. Step 4: Simplify right side
    16,852.94x = 218,638,178.63
  5. Step 5: Solve for x
    x = 218,638,178.63/16,852.94
  6. Step 6: Final answer
    x = 12,973.30

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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.