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Finding the Fourth Proportional to 25,674.72, 35,429.40 and 14,496

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Solution

The fourth proportional to 25,674.72, 35,429.40 and 14,496 is: 20,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.72 : 35,429.40 = 14,496 : x
  2. Step 2: Convert to fraction form
    25,674.72/35,429.40 = 14,496/x
  3. Step 3: Cross multiply
    25,674.72x = 35,429.40 × 14,496
  4. Step 4: Simplify right side
    25,674.72x = 513,584,582.40
  5. Step 5: Solve for x
    x = 513,584,582.40/25,674.72
  6. Step 6: Final answer
    x = 20,003.51

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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.