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Finding the Fourth Proportional to 14,506.84, 20,024.94 and 8,538.76

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Solution

The fourth proportional to 14,506.84, 20,024.94 and 8,538.76 is: 11,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.84 : 20,024.94 = 8,538.76 : x
  2. Step 2: Convert to fraction form
    14,506.84/20,024.94 = 8,538.76/x
  3. Step 3: Cross multiply
    14,506.84x = 20,024.94 × 8,538.76
  4. Step 4: Simplify right side
    14,506.84x = 170,988,156.67
  5. Step 5: Solve for x
    x = 170,988,156.67/14,506.84
  6. Step 6: Final answer
    x = 11,786.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.