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Finding the Fourth Proportional to 12,228.54, 18,342.81 and 5,302.50

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Solution

The fourth proportional to 12,228.54, 18,342.81 and 5,302.50 is: 7,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.54 : 18,342.81 = 5,302.50 : x
  2. Step 2: Convert to fraction form
    12,228.54/18,342.81 = 5,302.50/x
  3. Step 3: Cross multiply
    12,228.54x = 18,342.81 × 5,302.50
  4. Step 4: Simplify right side
    12,228.54x = 97,262,750.03
  5. Step 5: Solve for x
    x = 97,262,750.03/12,228.54
  6. Step 6: Final answer
    x = 7,953.75

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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.