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Finding the Fourth Proportional to 23,765.34, 32,802.18 and 14,808.03

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Solution

The fourth proportional to 23,765.34, 32,802.18 and 14,808.03 is: 20,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.34 : 32,802.18 = 14,808.03 : x
  2. Step 2: Convert to fraction form
    23,765.34/32,802.18 = 14,808.03/x
  3. Step 3: Cross multiply
    23,765.34x = 32,802.18 × 14,808.03
  4. Step 4: Simplify right side
    23,765.34x = 485,735,665.51
  5. Step 5: Solve for x
    x = 485,735,665.51/23,765.34
  6. Step 6: Final answer
    x = 20,438.83

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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.