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Finding the Fourth Proportional to 16,257.50, 24,386.26 and 5,313.50

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Solution

The fourth proportional to 16,257.50, 24,386.26 and 5,313.50 is: 7,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.50 : 24,386.26 = 5,313.50 : x
  2. Step 2: Convert to fraction form
    16,257.50/24,386.26 = 5,313.50/x
  3. Step 3: Cross multiply
    16,257.50x = 24,386.26 × 5,313.50
  4. Step 4: Simplify right side
    16,257.50x = 129,576,392.51
  5. Step 5: Solve for x
    x = 129,576,392.51/16,257.50
  6. Step 6: Final answer
    x = 7,970.25

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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.