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Finding the Fourth Proportional to 12,870.41, 19,274.17 and 7,933.26

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Solution

The fourth proportional to 12,870.41, 19,274.17 and 7,933.26 is: 11,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.41 : 19,274.17 = 7,933.26 : x
  2. Step 2: Convert to fraction form
    12,870.41/19,274.17 = 7,933.26/x
  3. Step 3: Cross multiply
    12,870.41x = 19,274.17 × 7,933.26
  4. Step 4: Simplify right side
    12,870.41x = 152,906,925.36
  5. Step 5: Solve for x
    x = 152,906,925.36/12,870.41
  6. Step 6: Final answer
    x = 11,880.50

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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.