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Finding the Fourth Proportional to 15,602.64, 23,401.36 and 5,214.36

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Solution

The fourth proportional to 15,602.64, 23,401.36 and 5,214.36 is: 7,820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,602.64 : 23,401.36 = 5,214.36 : x
  2. Step 2: Convert to fraction form
    15,602.64/23,401.36 = 5,214.36/x
  3. Step 3: Cross multiply
    15,602.64x = 23,401.36 × 5,214.36
  4. Step 4: Simplify right side
    15,602.64x = 122,023,115.53
  5. Step 5: Solve for x
    x = 122,023,115.53/15,602.64
  6. Step 6: Final answer
    x = 7,820.67

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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.