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Finding the Fourth Proportional to 25,477.60, 38,194.60 and 9,673.80

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Solution

The fourth proportional to 25,477.60, 38,194.60 and 9,673.80 is: 14,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.60 : 38,194.60 = 9,673.80 : x
  2. Step 2: Convert to fraction form
    25,477.60/38,194.60 = 9,673.80/x
  3. Step 3: Cross multiply
    25,477.60x = 38,194.60 × 9,673.80
  4. Step 4: Simplify right side
    25,477.60x = 369,486,921.48
  5. Step 5: Solve for x
    x = 369,486,921.48/25,477.60
  6. Step 6: Final answer
    x = 14,502.42

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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.