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Finding the Fourth Proportional to 13,821.42, 19,060.16 and 8,776.74

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Solution

The fourth proportional to 13,821.42, 19,060.16 and 8,776.74 is: 12,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.42 : 19,060.16 = 8,776.74 : x
  2. Step 2: Convert to fraction form
    13,821.42/19,060.16 = 8,776.74/x
  3. Step 3: Cross multiply
    13,821.42x = 19,060.16 × 8,776.74
  4. Step 4: Simplify right side
    13,821.42x = 167,286,068.68
  5. Step 5: Solve for x
    x = 167,286,068.68/13,821.42
  6. Step 6: Final answer
    x = 12,103.39

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Why These Related Problems?

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