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Finding the Fourth Proportional to 23,459.81, 32,388.59 and 14,519.30

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Solution

The fourth proportional to 23,459.81, 32,388.59 and 14,519.30 is: 20,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,459.81 : 32,388.59 = 14,519.30 : x
  2. Step 2: Convert to fraction form
    23,459.81/32,388.59 = 14,519.30/x
  3. Step 3: Cross multiply
    23,459.81x = 32,388.59 × 14,519.30
  4. Step 4: Simplify right side
    23,459.81x = 470,259,529.14
  5. Step 5: Solve for x
    x = 470,259,529.14/23,459.81
  6. Step 6: Final answer
    x = 20,045.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.