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Finding the Fourth Proportional to 30,207.84, 45,311.76 and 11,744.16

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Solution

The fourth proportional to 30,207.84, 45,311.76 and 11,744.16 is: 17,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207.84 : 45,311.76 = 11,744.16 : x
  2. Step 2: Convert to fraction form
    30,207.84/45,311.76 = 11,744.16/x
  3. Step 3: Cross multiply
    30,207.84x = 45,311.76 × 11,744.16
  4. Step 4: Simplify right side
    30,207.84x = 532,148,559.32
  5. Step 5: Solve for x
    x = 532,148,559.32/30,207.84
  6. Step 6: Final answer
    x = 17,616.24

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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.