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Finding the Fourth Proportional to 23,875.84, 35,779.20 and 13,465.44

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Solution

The fourth proportional to 23,875.84, 35,779.20 and 13,465.44 is: 20,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.84 : 35,779.20 = 13,465.44 : x
  2. Step 2: Convert to fraction form
    23,875.84/35,779.20 = 13,465.44/x
  3. Step 3: Cross multiply
    23,875.84x = 35,779.20 × 13,465.44
  4. Step 4: Simplify right side
    23,875.84x = 481,782,670.85
  5. Step 5: Solve for x
    x = 481,782,670.85/23,875.84
  6. Step 6: Final answer
    x = 20,178.67

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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.