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Finding the Fourth Proportional to 25,854.19, 35,678.81 and 14,676.19

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Solution

The fourth proportional to 25,854.19, 35,678.81 and 14,676.19 is: 20,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.19 : 35,678.81 = 14,676.19 : x
  2. Step 2: Convert to fraction form
    25,854.19/35,678.81 = 14,676.19/x
  3. Step 3: Cross multiply
    25,854.19x = 35,678.81 × 14,676.19
  4. Step 4: Simplify right side
    25,854.19x = 523,628,942.03
  5. Step 5: Solve for x
    x = 523,628,942.03/25,854.19
  6. Step 6: Final answer
    x = 20,253.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.