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Finding the Fourth Proportional to 14,135, 19,505.31 and 7,846.88

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Solution

The fourth proportional to 14,135, 19,505.31 and 7,846.88 is: 10,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135 : 19,505.31 = 7,846.88 : x
  2. Step 2: Convert to fraction form
    14,135/19,505.31 = 7,846.88/x
  3. Step 3: Cross multiply
    14,135x = 19,505.31 × 7,846.88
  4. Step 4: Simplify right side
    14,135x = 153,055,826.93
  5. Step 5: Solve for x
    x = 153,055,826.93/14,135
  6. Step 6: Final answer
    x = 10,828.14

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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.