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Finding the Fourth Proportional to 23,158.89, 34,784.82 and 13,817.16

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Solution

The fourth proportional to 23,158.89, 34,784.82 and 13,817.16 is: 20,753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,158.89 : 34,784.82 = 13,817.16 : x
  2. Step 2: Convert to fraction form
    23,158.89/34,784.82 = 13,817.16/x
  3. Step 3: Cross multiply
    23,158.89x = 34,784.82 × 13,817.16
  4. Step 4: Simplify right side
    23,158.89x = 480,627,423.51
  5. Step 5: Solve for x
    x = 480,627,423.51/23,158.89
  6. Step 6: Final answer
    x = 20,753.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.