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Finding the Fourth Proportional to 30,382.68, 45,574.06 and 8,196.08

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Solution

The fourth proportional to 30,382.68, 45,574.06 and 8,196.08 is: 12,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.68 : 45,574.06 = 8,196.08 : x
  2. Step 2: Convert to fraction form
    30,382.68/45,574.06 = 8,196.08/x
  3. Step 3: Cross multiply
    30,382.68x = 45,574.06 × 8,196.08
  4. Step 4: Simplify right side
    30,382.68x = 373,528,536.87
  5. Step 5: Solve for x
    x = 373,528,536.87/30,382.68
  6. Step 6: Final answer
    x = 12,294.13

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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.