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Finding the Fourth Proportional to 21,586.94, 32,378.92 and 13,268.24

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Solution

The fourth proportional to 21,586.94, 32,378.92 and 13,268.24 is: 19,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,586.94 : 32,378.92 = 13,268.24 : x
  2. Step 2: Convert to fraction form
    21,586.94/32,378.92 = 13,268.24/x
  3. Step 3: Cross multiply
    21,586.94x = 32,378.92 × 13,268.24
  4. Step 4: Simplify right side
    21,586.94x = 429,611,281.50
  5. Step 5: Solve for x
    x = 429,611,281.50/21,586.94
  6. Step 6: Final answer
    x = 19,901.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.