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Finding the Fourth Proportional to 19,049.84, 28,551 and 14,683.76

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Solution

The fourth proportional to 19,049.84, 28,551 and 14,683.76 is: 22,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,049.84 : 28,551 = 14,683.76 : x
  2. Step 2: Convert to fraction form
    19,049.84/28,551 = 14,683.76/x
  3. Step 3: Cross multiply
    19,049.84x = 28,551 × 14,683.76
  4. Step 4: Simplify right side
    19,049.84x = 419,236,031.76
  5. Step 5: Solve for x
    x = 419,236,031.76/19,049.84
  6. Step 6: Final answer
    x = 22,007.33

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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.