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Finding the Fourth Proportional to 23,480.95, 32,384.73 and 14,522.17

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Solution

The fourth proportional to 23,480.95, 32,384.73 and 14,522.17 is: 20,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,480.95 : 32,384.73 = 14,522.17 : x
  2. Step 2: Convert to fraction form
    23,480.95/32,384.73 = 14,522.17/x
  3. Step 3: Cross multiply
    23,480.95x = 32,384.73 × 14,522.17
  4. Step 4: Simplify right side
    23,480.95x = 470,296,554.46
  5. Step 5: Solve for x
    x = 470,296,554.46/23,480.95
  6. Step 6: Final answer
    x = 20,028.86

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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.