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Finding the Fourth Proportional to 30,277.74, 45,411.26 and 9,212.70

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Solution

The fourth proportional to 30,277.74, 45,411.26 and 9,212.70 is: 13,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.74 : 45,411.26 = 9,212.70 : x
  2. Step 2: Convert to fraction form
    30,277.74/45,411.26 = 9,212.70/x
  3. Step 3: Cross multiply
    30,277.74x = 45,411.26 × 9,212.70
  4. Step 4: Simplify right side
    30,277.74x = 418,360,268.94
  5. Step 5: Solve for x
    x = 418,360,268.94/30,277.74
  6. Step 6: Final answer
    x = 13,817.42

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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.