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Finding the Fourth Proportional to 25,674.20, 35,430.42 and 14,496.20

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Solution

The fourth proportional to 25,674.20, 35,430.42 and 14,496.20 is: 20,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.20 : 35,430.42 = 14,496.20 : x
  2. Step 2: Convert to fraction form
    25,674.20/35,430.42 = 14,496.20/x
  3. Step 3: Cross multiply
    25,674.20x = 35,430.42 × 14,496.20
  4. Step 4: Simplify right side
    25,674.20x = 513,606,277.25
  5. Step 5: Solve for x
    x = 513,606,277.25/25,674.20
  6. Step 6: Final answer
    x = 20,004.77

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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.