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Finding the Fourth Proportional to 21,405.42, 32,087.04 and 12,509.46

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Solution

The fourth proportional to 21,405.42, 32,087.04 and 12,509.46 is: 18,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.42 : 32,087.04 = 12,509.46 : x
  2. Step 2: Convert to fraction form
    21,405.42/32,087.04 = 12,509.46/x
  3. Step 3: Cross multiply
    21,405.42x = 32,087.04 × 12,509.46
  4. Step 4: Simplify right side
    21,405.42x = 401,391,543.40
  5. Step 5: Solve for x
    x = 401,391,543.40/21,405.42
  6. Step 6: Final answer
    x = 18,751.86

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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.