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Finding the Fourth Proportional to 12,125.34, 16,727.04 and 7,401.42

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Solution

The fourth proportional to 12,125.34, 16,727.04 and 7,401.42 is: 10,210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125.34 : 16,727.04 = 7,401.42 : x
  2. Step 2: Convert to fraction form
    12,125.34/16,727.04 = 7,401.42/x
  3. Step 3: Cross multiply
    12,125.34x = 16,727.04 × 7,401.42
  4. Step 4: Simplify right side
    12,125.34x = 123,803,848.40
  5. Step 5: Solve for x
    x = 123,803,848.40/12,125.34
  6. Step 6: Final answer
    x = 10,210.34

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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.