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Finding the Fourth Proportional to 21,409.56, 32,114.40 and 12,632.40

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Solution

The fourth proportional to 21,409.56, 32,114.40 and 12,632.40 is: 18,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.56 : 32,114.40 = 12,632.40 : x
  2. Step 2: Convert to fraction form
    21,409.56/32,114.40 = 12,632.40/x
  3. Step 3: Cross multiply
    21,409.56x = 32,114.40 × 12,632.40
  4. Step 4: Simplify right side
    21,409.56x = 405,681,946.56
  5. Step 5: Solve for x
    x = 405,681,946.56/21,409.56
  6. Step 6: Final answer
    x = 18,948.64

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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.