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Finding the Fourth Proportional to 12,953.50, 19,433.50 and 5,554.30

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Solution

The fourth proportional to 12,953.50, 19,433.50 and 5,554.30 is: 8,332.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.50 : 19,433.50 = 5,554.30 : x
  2. Step 2: Convert to fraction form
    12,953.50/19,433.50 = 5,554.30/x
  3. Step 3: Cross multiply
    12,953.50x = 19,433.50 × 5,554.30
  4. Step 4: Simplify right side
    12,953.50x = 107,939,489.05
  5. Step 5: Solve for x
    x = 107,939,489.05/12,953.50
  6. Step 6: Final answer
    x = 8,332.84

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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.