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Finding the Fourth Proportional to 21,403.60, 32,105.40 and 14,405.20

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Solution

The fourth proportional to 21,403.60, 32,105.40 and 14,405.20 is: 21,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,403.60 : 32,105.40 = 14,405.20 : x
  2. Step 2: Convert to fraction form
    21,403.60/32,105.40 = 14,405.20/x
  3. Step 3: Cross multiply
    21,403.60x = 32,105.40 × 14,405.20
  4. Step 4: Simplify right side
    21,403.60x = 462,484,708.08
  5. Step 5: Solve for x
    x = 462,484,708.08/21,403.60
  6. Step 6: Final answer
    x = 21,607.80

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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.