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Finding the Fourth Proportional to 22,971.84, 34,425.63 and 12,419.07

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Solution

The fourth proportional to 22,971.84, 34,425.63 and 12,419.07 is: 18,611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.84 : 34,425.63 = 12,419.07 : x
  2. Step 2: Convert to fraction form
    22,971.84/34,425.63 = 12,419.07/x
  3. Step 3: Cross multiply
    22,971.84x = 34,425.63 × 12,419.07
  4. Step 4: Simplify right side
    22,971.84x = 427,534,308.76
  5. Step 5: Solve for x
    x = 427,534,308.76/22,971.84
  6. Step 6: Final answer
    x = 18,611.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.