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Finding the Fourth Proportional to 23,419.84, 32,319.40 and 13,211

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Solution

The fourth proportional to 23,419.84, 32,319.40 and 13,211 is: 18,231.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,419.84 : 32,319.40 = 13,211 : x
  2. Step 2: Convert to fraction form
    23,419.84/32,319.40 = 13,211/x
  3. Step 3: Cross multiply
    23,419.84x = 32,319.40 × 13,211
  4. Step 4: Simplify right side
    23,419.84x = 426,971,593.40
  5. Step 5: Solve for x
    x = 426,971,593.40/23,419.84
  6. Step 6: Final answer
    x = 18,231.19

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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.