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Finding the Fourth Proportional to 16,705.68, 23,053.50 and 9,631.68

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Solution

The fourth proportional to 16,705.68, 23,053.50 and 9,631.68 is: 13,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.68 : 23,053.50 = 9,631.68 : x
  2. Step 2: Convert to fraction form
    16,705.68/23,053.50 = 9,631.68/x
  3. Step 3: Cross multiply
    16,705.68x = 23,053.50 × 9,631.68
  4. Step 4: Simplify right side
    16,705.68x = 222,043,934.88
  5. Step 5: Solve for x
    x = 222,043,934.88/16,705.68
  6. Step 6: Final answer
    x = 13,291.52

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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.