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Finding the Fourth Proportional to 16,200.10, 24,300.14 and 12,507.72

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Solution

The fourth proportional to 16,200.10, 24,300.14 and 12,507.72 is: 18,761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.10 : 24,300.14 = 12,507.72 : x
  2. Step 2: Convert to fraction form
    16,200.10/24,300.14 = 12,507.72/x
  3. Step 3: Cross multiply
    16,200.10x = 24,300.14 × 12,507.72
  4. Step 4: Simplify right side
    16,200.10x = 303,939,347.08
  5. Step 5: Solve for x
    x = 303,939,347.08/16,200.10
  6. Step 6: Final answer
    x = 18,761.57

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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.