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Finding the Fourth Proportional to 25,457.50, 38,186.32 and 7,927.35

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Solution

The fourth proportional to 25,457.50, 38,186.32 and 7,927.35 is: 11,891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,457.50 : 38,186.32 = 7,927.35 : x
  2. Step 2: Convert to fraction form
    25,457.50/38,186.32 = 7,927.35/x
  3. Step 3: Cross multiply
    25,457.50x = 38,186.32 × 7,927.35
  4. Step 4: Simplify right side
    25,457.50x = 302,716,323.85
  5. Step 5: Solve for x
    x = 302,716,323.85/25,457.50
  6. Step 6: Final answer
    x = 11,891.05

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