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Finding the Fourth Proportional to 19,725, 29,586.95 and 6,577.62

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Solution

The fourth proportional to 19,725, 29,586.95 and 6,577.62 is: 9,866.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,725 : 29,586.95 = 6,577.62 : x
  2. Step 2: Convert to fraction form
    19,725/29,586.95 = 6,577.62/x
  3. Step 3: Cross multiply
    19,725x = 29,586.95 × 6,577.62
  4. Step 4: Simplify right side
    19,725x = 194,611,714.06
  5. Step 5: Solve for x
    x = 194,611,714.06/19,725
  6. Step 6: Final answer
    x = 9,866.25

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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.