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Finding the Fourth Proportional to 20,713.94, 31,058.45 and 9,313.77

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Solution

The fourth proportional to 20,713.94, 31,058.45 and 9,313.77 is: 13,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.94 : 31,058.45 = 9,313.77 : x
  2. Step 2: Convert to fraction form
    20,713.94/31,058.45 = 9,313.77/x
  3. Step 3: Cross multiply
    20,713.94x = 31,058.45 × 9,313.77
  4. Step 4: Simplify right side
    20,713.94x = 289,271,213.29
  5. Step 5: Solve for x
    x = 289,271,213.29/20,713.94
  6. Step 6: Final answer
    x = 13,965.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.