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Finding the Fourth Proportional to 12,806.40, 19,208.32 and 3,573.76

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Solution

The fourth proportional to 12,806.40, 19,208.32 and 3,573.76 is: 5,360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.40 : 19,208.32 = 3,573.76 : x
  2. Step 2: Convert to fraction form
    12,806.40/19,208.32 = 3,573.76/x
  3. Step 3: Cross multiply
    12,806.40x = 19,208.32 × 3,573.76
  4. Step 4: Simplify right side
    12,806.40x = 68,645,925.68
  5. Step 5: Solve for x
    x = 68,645,925.68/12,806.40
  6. Step 6: Final answer
    x = 5,360.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.