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Finding the Fourth Proportional to 14,254.94, 21,385.92 and 4,895.09

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Solution

The fourth proportional to 14,254.94, 21,385.92 and 4,895.09 is: 7,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.94 : 21,385.92 = 4,895.09 : x
  2. Step 2: Convert to fraction form
    14,254.94/21,385.92 = 4,895.09/x
  3. Step 3: Cross multiply
    14,254.94x = 21,385.92 × 4,895.09
  4. Step 4: Simplify right side
    14,254.94x = 104,686,044.36
  5. Step 5: Solve for x
    x = 104,686,044.36/14,254.94
  6. Step 6: Final answer
    x = 7,343.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.