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Finding the Fourth Proportional to 25,210.51, 37,814.39 and 7,678.97

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Solution

The fourth proportional to 25,210.51, 37,814.39 and 7,678.97 is: 11,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,210.51 : 37,814.39 = 7,678.97 : x
  2. Step 2: Convert to fraction form
    25,210.51/37,814.39 = 7,678.97/x
  3. Step 3: Cross multiply
    25,210.51x = 37,814.39 × 7,678.97
  4. Step 4: Simplify right side
    25,210.51x = 290,375,680.11
  5. Step 5: Solve for x
    x = 290,375,680.11/25,210.51
  6. Step 6: Final answer
    x = 11,518.04

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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.