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Finding the Fourth Proportional to 12,133.13, 16,744.12 and 7,416.50

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Solution

The fourth proportional to 12,133.13, 16,744.12 and 7,416.50 is: 10,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.13 : 16,744.12 = 7,416.50 : x
  2. Step 2: Convert to fraction form
    12,133.13/16,744.12 = 7,416.50/x
  3. Step 3: Cross multiply
    12,133.13x = 16,744.12 × 7,416.50
  4. Step 4: Simplify right side
    12,133.13x = 124,182,663.72
  5. Step 5: Solve for x
    x = 124,182,663.72/12,133.13
  6. Step 6: Final answer
    x = 10,235.01

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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.