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Finding the Fourth Proportional to 21,406.51, 32,074.69 and 11,400.63

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Solution

The fourth proportional to 21,406.51, 32,074.69 and 11,400.63 is: 17,082.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.51 : 32,074.69 = 11,400.63 : x
  2. Step 2: Convert to fraction form
    21,406.51/32,074.69 = 11,400.63/x
  3. Step 3: Cross multiply
    21,406.51x = 32,074.69 × 11,400.63
  4. Step 4: Simplify right side
    21,406.51x = 365,671,659.23
  5. Step 5: Solve for x
    x = 365,671,659.23/21,406.51
  6. Step 6: Final answer
    x = 17,082.27

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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.