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Finding the Fourth Proportional to 12,424, 17,145.12 and 6,835

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Solution

The fourth proportional to 12,424, 17,145.12 and 6,835 is: 9,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424 : 17,145.12 = 6,835 : x
  2. Step 2: Convert to fraction form
    12,424/17,145.12 = 6,835/x
  3. Step 3: Cross multiply
    12,424x = 17,145.12 × 6,835
  4. Step 4: Simplify right side
    12,424x = 117,186,895.20
  5. Step 5: Solve for x
    x = 117,186,895.20/12,424
  6. Step 6: Final answer
    x = 9,432.30

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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.