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Finding the Fourth Proportional to 16,342.50, 24,513.81 and 4,030.50

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Solution

The fourth proportional to 16,342.50, 24,513.81 and 4,030.50 is: 6,045.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.50 : 24,513.81 = 4,030.50 : x
  2. Step 2: Convert to fraction form
    16,342.50/24,513.81 = 4,030.50/x
  3. Step 3: Cross multiply
    16,342.50x = 24,513.81 × 4,030.50
  4. Step 4: Simplify right side
    16,342.50x = 98,802,911.21
  5. Step 5: Solve for x
    x = 98,802,911.21/16,342.50
  6. Step 6: Final answer
    x = 6,045.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.