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Finding the Fourth Proportional to 12,245.77, 16,892.31 and 7,529.14

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Solution

The fourth proportional to 12,245.77, 16,892.31 and 7,529.14 is: 10,386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.77 : 16,892.31 = 7,529.14 : x
  2. Step 2: Convert to fraction form
    12,245.77/16,892.31 = 7,529.14/x
  3. Step 3: Cross multiply
    12,245.77x = 16,892.31 × 7,529.14
  4. Step 4: Simplify right side
    12,245.77x = 127,184,566.91
  5. Step 5: Solve for x
    x = 127,184,566.91/12,245.77
  6. Step 6: Final answer
    x = 10,386.00

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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.