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Finding the Fourth Proportional to 14,125.25, 19,493.45 and 8,460.92

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Solution

The fourth proportional to 14,125.25, 19,493.45 and 8,460.92 is: 11,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.25 : 19,493.45 = 8,460.92 : x
  2. Step 2: Convert to fraction form
    14,125.25/19,493.45 = 8,460.92/x
  3. Step 3: Cross multiply
    14,125.25x = 19,493.45 × 8,460.92
  4. Step 4: Simplify right side
    14,125.25x = 164,932,423.51
  5. Step 5: Solve for x
    x = 164,932,423.51/14,125.25
  6. Step 6: Final answer
    x = 11,676.43

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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.