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Finding the Fourth Proportional to 19,304.40, 28,970.44 and 8,218.86

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Solution

The fourth proportional to 19,304.40, 28,970.44 and 8,218.86 is: 12,334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,304.40 : 28,970.44 = 8,218.86 : x
  2. Step 2: Convert to fraction form
    19,304.40/28,970.44 = 8,218.86/x
  3. Step 3: Cross multiply
    19,304.40x = 28,970.44 × 8,218.86
  4. Step 4: Simplify right side
    19,304.40x = 238,103,990.50
  5. Step 5: Solve for x
    x = 238,103,990.50/19,304.40
  6. Step 6: Final answer
    x = 12,334.18

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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.