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Finding the Fourth Proportional to 19,815.64, 29,726.06 and 6,483.98

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Solution

The fourth proportional to 19,815.64, 29,726.06 and 6,483.98 is: 9,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,815.64 : 29,726.06 = 6,483.98 : x
  2. Step 2: Convert to fraction form
    19,815.64/29,726.06 = 6,483.98/x
  3. Step 3: Cross multiply
    19,815.64x = 29,726.06 × 6,483.98
  4. Step 4: Simplify right side
    19,815.64x = 192,743,220.41
  5. Step 5: Solve for x
    x = 192,743,220.41/19,815.64
  6. Step 6: Final answer
    x = 9,726.82

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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.