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Finding the Fourth Proportional to 30,284.38, 45,428.39 and 9,507.88

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Solution

The fourth proportional to 30,284.38, 45,428.39 and 9,507.88 is: 14,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284.38 : 45,428.39 = 9,507.88 : x
  2. Step 2: Convert to fraction form
    30,284.38/45,428.39 = 9,507.88/x
  3. Step 3: Cross multiply
    30,284.38x = 45,428.39 × 9,507.88
  4. Step 4: Simplify right side
    30,284.38x = 431,927,406.03
  5. Step 5: Solve for x
    x = 431,927,406.03/30,284.38
  6. Step 6: Final answer
    x = 14,262.38

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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.