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Finding the Fourth Proportional to 21,454.51, 32,191.05 and 11,600.77

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Solution

The fourth proportional to 21,454.51, 32,191.05 and 11,600.77 is: 17,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.51 : 32,191.05 = 11,600.77 : x
  2. Step 2: Convert to fraction form
    21,454.51/32,191.05 = 11,600.77/x
  3. Step 3: Cross multiply
    21,454.51x = 32,191.05 × 11,600.77
  4. Step 4: Simplify right side
    21,454.51x = 373,440,967.11
  5. Step 5: Solve for x
    x = 373,440,967.11/21,454.51
  6. Step 6: Final answer
    x = 17,406.18

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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.