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Finding the Fourth Proportional to 21,699.72, 32,485.50 and 16,177.32

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Solution

The fourth proportional to 21,699.72, 32,485.50 and 16,177.32 is: 24,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,699.72 : 32,485.50 = 16,177.32 : x
  2. Step 2: Convert to fraction form
    21,699.72/32,485.50 = 16,177.32/x
  3. Step 3: Cross multiply
    21,699.72x = 32,485.50 × 16,177.32
  4. Step 4: Simplify right side
    21,699.72x = 525,528,328.86
  5. Step 5: Solve for x
    x = 525,528,328.86/21,699.72
  6. Step 6: Final answer
    x = 24,218.21

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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.