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Finding the Fourth Proportional to 12,957.22, 19,438.71 and 3,722.50

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Solution

The fourth proportional to 12,957.22, 19,438.71 and 3,722.50 is: 5,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.22 : 19,438.71 = 3,722.50 : x
  2. Step 2: Convert to fraction form
    12,957.22/19,438.71 = 3,722.50/x
  3. Step 3: Cross multiply
    12,957.22x = 19,438.71 × 3,722.50
  4. Step 4: Simplify right side
    12,957.22x = 72,360,597.98
  5. Step 5: Solve for x
    x = 72,360,597.98/12,957.22
  6. Step 6: Final answer
    x = 5,584.58

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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.