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Finding the Fourth Proportional to 21,495.40, 32,235.42 and 7,641.64

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Solution

The fourth proportional to 21,495.40, 32,235.42 and 7,641.64 is: 11,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,495.40 : 32,235.42 = 7,641.64 : x
  2. Step 2: Convert to fraction form
    21,495.40/32,235.42 = 7,641.64/x
  3. Step 3: Cross multiply
    21,495.40x = 32,235.42 × 7,641.64
  4. Step 4: Simplify right side
    21,495.40x = 246,331,474.89
  5. Step 5: Solve for x
    x = 246,331,474.89/21,495.40
  6. Step 6: Final answer
    x = 11,459.73

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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.