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Finding the Fourth Proportional to 23,835.84, 32,892.32 and 13,225.20

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Solution

The fourth proportional to 23,835.84, 32,892.32 and 13,225.20 is: 18,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.84 : 32,892.32 = 13,225.20 : x
  2. Step 2: Convert to fraction form
    23,835.84/32,892.32 = 13,225.20/x
  3. Step 3: Cross multiply
    23,835.84x = 32,892.32 × 13,225.20
  4. Step 4: Simplify right side
    23,835.84x = 435,007,510.46
  5. Step 5: Solve for x
    x = 435,007,510.46/23,835.84
  6. Step 6: Final answer
    x = 18,250.14

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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.