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Finding the Fourth Proportional to 24,897.40, 37,346.10 and 12,419.80

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Solution

The fourth proportional to 24,897.40, 37,346.10 and 12,419.80 is: 18,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,897.40 : 37,346.10 = 12,419.80 : x
  2. Step 2: Convert to fraction form
    24,897.40/37,346.10 = 12,419.80/x
  3. Step 3: Cross multiply
    24,897.40x = 37,346.10 × 12,419.80
  4. Step 4: Simplify right side
    24,897.40x = 463,831,092.78
  5. Step 5: Solve for x
    x = 463,831,092.78/24,897.40
  6. Step 6: Final answer
    x = 18,629.70

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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.