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Finding the Fourth Proportional to 25,828.47, 38,736.63 and 8,298.45

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Solution

The fourth proportional to 25,828.47, 38,736.63 and 8,298.45 is: 12,445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,828.47 : 38,736.63 = 8,298.45 : x
  2. Step 2: Convert to fraction form
    25,828.47/38,736.63 = 8,298.45/x
  3. Step 3: Cross multiply
    25,828.47x = 38,736.63 × 8,298.45
  4. Step 4: Simplify right side
    25,828.47x = 321,453,987.22
  5. Step 5: Solve for x
    x = 321,453,987.22/25,828.47
  6. Step 6: Final answer
    x = 12,445.72

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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.