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Finding the Fourth Proportional to 13,514.12, 18,653.94 and 7,925

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Solution

The fourth proportional to 13,514.12, 18,653.94 and 7,925 is: 10,939.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.12 : 18,653.94 = 7,925 : x
  2. Step 2: Convert to fraction form
    13,514.12/18,653.94 = 7,925/x
  3. Step 3: Cross multiply
    13,514.12x = 18,653.94 × 7,925
  4. Step 4: Simplify right side
    13,514.12x = 147,832,474.50
  5. Step 5: Solve for x
    x = 147,832,474.50/13,514.12
  6. Step 6: Final answer
    x = 10,939.11

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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.