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Finding the Fourth Proportional to 11,352.40, 17,009.70 and 8,228.50

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Solution

The fourth proportional to 11,352.40, 17,009.70 and 8,228.50 is: 12,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.40 : 17,009.70 = 8,228.50 : x
  2. Step 2: Convert to fraction form
    11,352.40/17,009.70 = 8,228.50/x
  3. Step 3: Cross multiply
    11,352.40x = 17,009.70 × 8,228.50
  4. Step 4: Simplify right side
    11,352.40x = 139,964,316.45
  5. Step 5: Solve for x
    x = 139,964,316.45/11,352.40
  6. Step 6: Final answer
    x = 12,329.05

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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.