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Finding the Fourth Proportional to 23,768.69, 32,802 and 13,698.77

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Solution

The fourth proportional to 23,768.69, 32,802 and 13,698.77 is: 18,905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,768.69 : 32,802 = 13,698.77 : x
  2. Step 2: Convert to fraction form
    23,768.69/32,802 = 13,698.77/x
  3. Step 3: Cross multiply
    23,768.69x = 32,802 × 13,698.77
  4. Step 4: Simplify right side
    23,768.69x = 449,347,053.54
  5. Step 5: Solve for x
    x = 449,347,053.54/23,768.69
  6. Step 6: Final answer
    x = 18,905.00

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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.