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Finding the Fourth Proportional to 13,225.50, 19,838.37 and 4,340.70

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Solution

The fourth proportional to 13,225.50, 19,838.37 and 4,340.70 is: 6,511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.50 : 19,838.37 = 4,340.70 : x
  2. Step 2: Convert to fraction form
    13,225.50/19,838.37 = 4,340.70/x
  3. Step 3: Cross multiply
    13,225.50x = 19,838.37 × 4,340.70
  4. Step 4: Simplify right side
    13,225.50x = 86,112,412.66
  5. Step 5: Solve for x
    x = 86,112,412.66/13,225.50
  6. Step 6: Final answer
    x = 6,511.09

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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.