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Finding the Fourth Proportional to 30,271.66, 45,414.40 and 9,214.69

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Solution

The fourth proportional to 30,271.66, 45,414.40 and 9,214.69 is: 13,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271.66 : 45,414.40 = 9,214.69 : x
  2. Step 2: Convert to fraction form
    30,271.66/45,414.40 = 9,214.69/x
  3. Step 3: Cross multiply
    30,271.66x = 45,414.40 × 9,214.69
  4. Step 4: Simplify right side
    30,271.66x = 418,479,429.75
  5. Step 5: Solve for x
    x = 418,479,429.75/30,271.66
  6. Step 6: Final answer
    x = 13,824.13

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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.