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Finding the Fourth Proportional to 14,134.46, 19,506.57 and 7,846.79

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Solution

The fourth proportional to 14,134.46, 19,506.57 and 7,846.79 is: 10,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.46 : 19,506.57 = 7,846.79 : x
  2. Step 2: Convert to fraction form
    14,134.46/19,506.57 = 7,846.79/x
  3. Step 3: Cross multiply
    14,134.46x = 19,506.57 × 7,846.79
  4. Step 4: Simplify right side
    14,134.46x = 153,063,958.41
  5. Step 5: Solve for x
    x = 153,063,958.41/14,134.46
  6. Step 6: Final answer
    x = 10,829.13

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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.