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Finding the Fourth Proportional to 12,475, 17,215.74 and 6,885.88

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Solution

The fourth proportional to 12,475, 17,215.74 and 6,885.88 is: 9,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475 : 17,215.74 = 6,885.88 : x
  2. Step 2: Convert to fraction form
    12,475/17,215.74 = 6,885.88/x
  3. Step 3: Cross multiply
    12,475x = 17,215.74 × 6,885.88
  4. Step 4: Simplify right side
    12,475x = 118,545,519.75
  5. Step 5: Solve for x
    x = 118,545,519.75/12,475
  6. Step 6: Final answer
    x = 9,502.65

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