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Finding the Fourth Proportional to 23,802.17, 32,846.49 and 13,191.71

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Solution

The fourth proportional to 23,802.17, 32,846.49 and 13,191.71 is: 18,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.17 : 32,846.49 = 13,191.71 : x
  2. Step 2: Convert to fraction form
    23,802.17/32,846.49 = 13,191.71/x
  3. Step 3: Cross multiply
    23,802.17x = 32,846.49 × 13,191.71
  4. Step 4: Simplify right side
    23,802.17x = 433,301,370.60
  5. Step 5: Solve for x
    x = 433,301,370.60/23,802.17
  6. Step 6: Final answer
    x = 18,204.28

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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.