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Finding the Fourth Proportional to 25,271.60, 37,896.41 and 13,422.76

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Solution

The fourth proportional to 25,271.60, 37,896.41 and 13,422.76 is: 20,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,271.60 : 37,896.41 = 13,422.76 : x
  2. Step 2: Convert to fraction form
    25,271.60/37,896.41 = 13,422.76/x
  3. Step 3: Cross multiply
    25,271.60x = 37,896.41 × 13,422.76
  4. Step 4: Simplify right side
    25,271.60x = 508,674,492.77
  5. Step 5: Solve for x
    x = 508,674,492.77/25,271.60
  6. Step 6: Final answer
    x = 20,128.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.