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Finding the Fourth Proportional to 21,405.60, 32,098.80 and 9,712.80

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Solution

The fourth proportional to 21,405.60, 32,098.80 and 9,712.80 is: 14,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.60 : 32,098.80 = 9,712.80 : x
  2. Step 2: Convert to fraction form
    21,405.60/32,098.80 = 9,712.80/x
  3. Step 3: Cross multiply
    21,405.60x = 32,098.80 × 9,712.80
  4. Step 4: Simplify right side
    21,405.60x = 311,769,224.64
  5. Step 5: Solve for x
    x = 311,769,224.64/21,405.60
  6. Step 6: Final answer
    x = 14,564.84

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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.