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Finding the Fourth Proportional to 25,713.64, 35,487.46 and 15,642.80

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Solution

The fourth proportional to 25,713.64, 35,487.46 and 15,642.80 is: 21,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713.64 : 35,487.46 = 15,642.80 : x
  2. Step 2: Convert to fraction form
    25,713.64/35,487.46 = 15,642.80/x
  3. Step 3: Cross multiply
    25,713.64x = 35,487.46 × 15,642.80
  4. Step 4: Simplify right side
    25,713.64x = 555,123,239.29
  5. Step 5: Solve for x
    x = 555,123,239.29/25,713.64
  6. Step 6: Final answer
    x = 21,588.67

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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.