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Finding the Fourth Proportional to 30,300.20, 45,384.54 and 14,685

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Solution

The fourth proportional to 30,300.20, 45,384.54 and 14,685 is: 21,995.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,300.20 : 45,384.54 = 14,685 : x
  2. Step 2: Convert to fraction form
    30,300.20/45,384.54 = 14,685/x
  3. Step 3: Cross multiply
    30,300.20x = 45,384.54 × 14,685
  4. Step 4: Simplify right side
    30,300.20x = 666,471,969.90
  5. Step 5: Solve for x
    x = 666,471,969.90/30,300.20
  6. Step 6: Final answer
    x = 21,995.63

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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.