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Finding the Fourth Proportional to 23,843.60, 32,903.84 and 13,233

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Solution

The fourth proportional to 23,843.60, 32,903.84 and 13,233 is: 18,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.60 : 32,903.84 = 13,233 : x
  2. Step 2: Convert to fraction form
    23,843.60/32,903.84 = 13,233/x
  3. Step 3: Cross multiply
    23,843.60x = 32,903.84 × 13,233
  4. Step 4: Simplify right side
    23,843.60x = 435,416,547.80
  5. Step 5: Solve for x
    x = 435,416,547.80/23,843.60
  6. Step 6: Final answer
    x = 18,261.36

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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.