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Finding the Fourth Proportional to 30,384.12, 45,577.80 and 9,606

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Solution

The fourth proportional to 30,384.12, 45,577.80 and 9,606 is: 14,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384.12 : 45,577.80 = 9,606 : x
  2. Step 2: Convert to fraction form
    30,384.12/45,577.80 = 9,606/x
  3. Step 3: Cross multiply
    30,384.12x = 45,577.80 × 9,606
  4. Step 4: Simplify right side
    30,384.12x = 437,820,346.80
  5. Step 5: Solve for x
    x = 437,820,346.80/30,384.12
  6. Step 6: Final answer
    x = 14,409.51

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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.