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Finding the Fourth Proportional to 25,208.55, 37,814.94 and 7,678.53

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Solution

The fourth proportional to 25,208.55, 37,814.94 and 7,678.53 is: 11,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,208.55 : 37,814.94 = 7,678.53 : x
  2. Step 2: Convert to fraction form
    25,208.55/37,814.94 = 7,678.53/x
  3. Step 3: Cross multiply
    25,208.55x = 37,814.94 × 7,678.53
  4. Step 4: Simplify right side
    25,208.55x = 290,363,151.24
  5. Step 5: Solve for x
    x = 290,363,151.24/25,208.55
  6. Step 6: Final answer
    x = 11,518.44

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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.