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Finding the Fourth Proportional to 12,934.12, 17,848.98 and 7,345

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Solution

The fourth proportional to 12,934.12, 17,848.98 and 7,345 is: 10,136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.12 : 17,848.98 = 7,345 : x
  2. Step 2: Convert to fraction form
    12,934.12/17,848.98 = 7,345/x
  3. Step 3: Cross multiply
    12,934.12x = 17,848.98 × 7,345
  4. Step 4: Simplify right side
    12,934.12x = 131,100,758.10
  5. Step 5: Solve for x
    x = 131,100,758.10/12,934.12
  6. Step 6: Final answer
    x = 10,136.04

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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.