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Finding the Fourth Proportional to 19,852.96, 29,773.12 and 6,522.88

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Solution

The fourth proportional to 19,852.96, 29,773.12 and 6,522.88 is: 9,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.96 : 29,773.12 = 6,522.88 : x
  2. Step 2: Convert to fraction form
    19,852.96/29,773.12 = 6,522.88/x
  3. Step 3: Cross multiply
    19,852.96x = 29,773.12 × 6,522.88
  4. Step 4: Simplify right side
    19,852.96x = 194,206,569.71
  5. Step 5: Solve for x
    x = 194,206,569.71/19,852.96
  6. Step 6: Final answer
    x = 9,782.25

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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.