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Finding the Fourth Proportional to 21,444.96, 32,171.74 and 7,405.51

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Solution

The fourth proportional to 21,444.96, 32,171.74 and 7,405.51 is: 11,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,444.96 : 32,171.74 = 7,405.51 : x
  2. Step 2: Convert to fraction form
    21,444.96/32,171.74 = 7,405.51/x
  3. Step 3: Cross multiply
    21,444.96x = 32,171.74 × 7,405.51
  4. Step 4: Simplify right side
    21,444.96x = 238,247,999.94
  5. Step 5: Solve for x
    x = 238,247,999.94/21,444.96
  6. Step 6: Final answer
    x = 11,109.74

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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.