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Finding the Fourth Proportional to 25,711.56, 35,482.02 and 14,381.25

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Solution

The fourth proportional to 25,711.56, 35,482.02 and 14,381.25 is: 19,846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,711.56 : 35,482.02 = 14,381.25 : x
  2. Step 2: Convert to fraction form
    25,711.56/35,482.02 = 14,381.25/x
  3. Step 3: Cross multiply
    25,711.56x = 35,482.02 × 14,381.25
  4. Step 4: Simplify right side
    25,711.56x = 510,275,800.13
  5. Step 5: Solve for x
    x = 510,275,800.13/25,711.56
  6. Step 6: Final answer
    x = 19,846.16

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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.