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Finding the Fourth Proportional to 30,645.72, 45,926.06 and 13,964.99

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Solution

The fourth proportional to 30,645.72, 45,926.06 and 13,964.99 is: 20,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645.72 : 45,926.06 = 13,964.99 : x
  2. Step 2: Convert to fraction form
    30,645.72/45,926.06 = 13,964.99/x
  3. Step 3: Cross multiply
    30,645.72x = 45,926.06 × 13,964.99
  4. Step 4: Simplify right side
    30,645.72x = 641,356,669.18
  5. Step 5: Solve for x
    x = 641,356,669.18/30,645.72
  6. Step 6: Final answer
    x = 20,928.10

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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.