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Finding the Fourth Proportional to 16,705.50, 23,054.35 and 9,253.50

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Solution

The fourth proportional to 16,705.50, 23,054.35 and 9,253.50 is: 12,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.50 : 23,054.35 = 9,253.50 : x
  2. Step 2: Convert to fraction form
    16,705.50/23,054.35 = 9,253.50/x
  3. Step 3: Cross multiply
    16,705.50x = 23,054.35 × 9,253.50
  4. Step 4: Simplify right side
    16,705.50x = 213,333,427.73
  5. Step 5: Solve for x
    x = 213,333,427.73/16,705.50
  6. Step 6: Final answer
    x = 12,770.25

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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.