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Finding the Fourth Proportional to 16,703.68, 23,053.68 and 9,632.32

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Solution

The fourth proportional to 16,703.68, 23,053.68 and 9,632.32 is: 13,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,703.68 : 23,053.68 = 9,632.32 : x
  2. Step 2: Convert to fraction form
    16,703.68/23,053.68 = 9,632.32/x
  3. Step 3: Cross multiply
    16,703.68x = 23,053.68 × 9,632.32
  4. Step 4: Simplify right side
    16,703.68x = 222,060,422.94
  5. Step 5: Solve for x
    x = 222,060,422.94/16,703.68
  6. Step 6: Final answer
    x = 13,294.10

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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.