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Finding the Fourth Proportional to 25,014, 34,520.40 and 13,836

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Solution

The fourth proportional to 25,014, 34,520.40 and 13,836 is: 19,094.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,014 : 34,520.40 = 13,836 : x
  2. Step 2: Convert to fraction form
    25,014/34,520.40 = 13,836/x
  3. Step 3: Cross multiply
    25,014x = 34,520.40 × 13,836
  4. Step 4: Simplify right side
    25,014x = 477,624,254.40
  5. Step 5: Solve for x
    x = 477,624,254.40/25,014
  6. Step 6: Final answer
    x = 19,094.28

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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.