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Finding the Fourth Proportional to 25,256.40, 37,888.86 and 7,722.12

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Solution

The fourth proportional to 25,256.40, 37,888.86 and 7,722.12 is: 11,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,256.40 : 37,888.86 = 7,722.12 : x
  2. Step 2: Convert to fraction form
    25,256.40/37,888.86 = 7,722.12/x
  3. Step 3: Cross multiply
    25,256.40x = 37,888.86 × 7,722.12
  4. Step 4: Simplify right side
    25,256.40x = 292,582,323.58
  5. Step 5: Solve for x
    x = 292,582,323.58/25,256.40
  6. Step 6: Final answer
    x = 11,584.48

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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.