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Finding the Fourth Proportional to 21,846.80, 32,705.40 and 14,459.60

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Solution

The fourth proportional to 21,846.80, 32,705.40 and 14,459.60 is: 21,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,846.80 : 32,705.40 = 14,459.60 : x
  2. Step 2: Convert to fraction form
    21,846.80/32,705.40 = 14,459.60/x
  3. Step 3: Cross multiply
    21,846.80x = 32,705.40 × 14,459.60
  4. Step 4: Simplify right side
    21,846.80x = 472,907,001.84
  5. Step 5: Solve for x
    x = 472,907,001.84/21,846.80
  6. Step 6: Final answer
    x = 21,646.51

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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.