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Finding the Fourth Proportional to 21,023.76, 29,012.68 and 11,464.16

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Solution

The fourth proportional to 21,023.76, 29,012.68 and 11,464.16 is: 15,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,023.76 : 29,012.68 = 11,464.16 : x
  2. Step 2: Convert to fraction form
    21,023.76/29,012.68 = 11,464.16/x
  3. Step 3: Cross multiply
    21,023.76x = 29,012.68 × 11,464.16
  4. Step 4: Simplify right side
    21,023.76x = 332,606,005.55
  5. Step 5: Solve for x
    x = 332,606,005.55/21,023.76
  6. Step 6: Final answer
    x = 15,820.48

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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.