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Finding the Fourth Proportional to 12,825, 17,698.50 and 7,236

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Solution

The fourth proportional to 12,825, 17,698.50 and 7,236 is: 9,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825 : 17,698.50 = 7,236 : x
  2. Step 2: Convert to fraction form
    12,825/17,698.50 = 7,236/x
  3. Step 3: Cross multiply
    12,825x = 17,698.50 × 7,236
  4. Step 4: Simplify right side
    12,825x = 128,066,346
  5. Step 5: Solve for x
    x = 128,066,346/12,825
  6. Step 6: Final answer
    x = 9,985.68

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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.