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Finding the Fourth Proportional to 16,137.12, 24,222.64 and 14,300

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Solution

The fourth proportional to 16,137.12, 24,222.64 and 14,300 is: 21,465.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.12 : 24,222.64 = 14,300 : x
  2. Step 2: Convert to fraction form
    16,137.12/24,222.64 = 14,300/x
  3. Step 3: Cross multiply
    16,137.12x = 24,222.64 × 14,300
  4. Step 4: Simplify right side
    16,137.12x = 346,383,752
  5. Step 5: Solve for x
    x = 346,383,752/16,137.12
  6. Step 6: Final answer
    x = 21,465.03

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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.