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Finding the Fourth Proportional to 23,538.48, 32,482.99 and 12,783.28

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Solution

The fourth proportional to 23,538.48, 32,482.99 and 12,783.28 is: 17,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.48 : 32,482.99 = 12,783.28 : x
  2. Step 2: Convert to fraction form
    23,538.48/32,482.99 = 12,783.28/x
  3. Step 3: Cross multiply
    23,538.48x = 32,482.99 × 12,783.28
  4. Step 4: Simplify right side
    23,538.48x = 415,239,188.04
  5. Step 5: Solve for x
    x = 415,239,188.04/23,538.48
  6. Step 6: Final answer
    x = 17,640.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.