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Finding the Fourth Proportional to 23,538.53, 32,483.04 and 12,783.62

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Solution

The fourth proportional to 23,538.53, 32,483.04 and 12,783.62 is: 17,641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.53 : 32,483.04 = 12,783.62 : x
  2. Step 2: Convert to fraction form
    23,538.53/32,483.04 = 12,783.62/x
  3. Step 3: Cross multiply
    23,538.53x = 32,483.04 × 12,783.62
  4. Step 4: Simplify right side
    23,538.53x = 415,250,839.80
  5. Step 5: Solve for x
    x = 415,250,839.80/23,538.53
  6. Step 6: Final answer
    x = 17,641.32

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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.