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Finding the Fourth Proportional to 12,913.50, 17,817.88 and 7,606.38

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Solution

The fourth proportional to 12,913.50, 17,817.88 and 7,606.38 is: 10,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.50 : 17,817.88 = 7,606.38 : x
  2. Step 2: Convert to fraction form
    12,913.50/17,817.88 = 7,606.38/x
  3. Step 3: Cross multiply
    12,913.50x = 17,817.88 × 7,606.38
  4. Step 4: Simplify right side
    12,913.50x = 135,529,566.07
  5. Step 5: Solve for x
    x = 135,529,566.07/12,913.50
  6. Step 6: Final answer
    x = 10,495.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.