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Finding the Fourth Proportional to 19,852.49, 29,786.43 and 8,751.34

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Solution

The fourth proportional to 19,852.49, 29,786.43 and 8,751.34 is: 13,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.49 : 29,786.43 = 8,751.34 : x
  2. Step 2: Convert to fraction form
    19,852.49/29,786.43 = 8,751.34/x
  3. Step 3: Cross multiply
    19,852.49x = 29,786.43 × 8,751.34
  4. Step 4: Simplify right side
    19,852.49x = 260,671,246.37
  5. Step 5: Solve for x
    x = 260,671,246.37/19,852.49
  6. Step 6: Final answer
    x = 13,130.40

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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.