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Finding the Fourth Proportional to 12,852.34, 17,738.40 and 7,477.89

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Solution

The fourth proportional to 12,852.34, 17,738.40 and 7,477.89 is: 10,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.34 : 17,738.40 = 7,477.89 : x
  2. Step 2: Convert to fraction form
    12,852.34/17,738.40 = 7,477.89/x
  3. Step 3: Cross multiply
    12,852.34x = 17,738.40 × 7,477.89
  4. Step 4: Simplify right side
    12,852.34x = 132,645,865.28
  5. Step 5: Solve for x
    x = 132,645,865.28/12,852.34
  6. Step 6: Final answer
    x = 10,320.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.