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Finding the Fourth Proportional to 21,309, 29,406.63 and 11,749.28

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Solution

The fourth proportional to 21,309, 29,406.63 and 11,749.28 is: 16,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309 : 29,406.63 = 11,749.28 : x
  2. Step 2: Convert to fraction form
    21,309/29,406.63 = 11,749.28/x
  3. Step 3: Cross multiply
    21,309x = 29,406.63 × 11,749.28
  4. Step 4: Simplify right side
    21,309x = 345,506,582.69
  5. Step 5: Solve for x
    x = 345,506,582.69/21,309
  6. Step 6: Final answer
    x = 16,214.12

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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.