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Finding the Fourth Proportional to 15,914.70, 23,823.45 and 14,165.10

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Solution

The fourth proportional to 15,914.70, 23,823.45 and 14,165.10 is: 21,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.70 : 23,823.45 = 14,165.10 : x
  2. Step 2: Convert to fraction form
    15,914.70/23,823.45 = 14,165.10/x
  3. Step 3: Cross multiply
    15,914.70x = 23,823.45 × 14,165.10
  4. Step 4: Simplify right side
    15,914.70x = 337,461,551.60
  5. Step 5: Solve for x
    x = 337,461,551.60/15,914.70
  6. Step 6: Final answer
    x = 21,204.39

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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.