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Finding the Fourth Proportional to 13,637.22, 18,817.02 and 7,668.06

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Solution

The fourth proportional to 13,637.22, 18,817.02 and 7,668.06 is: 10,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.22 : 18,817.02 = 7,668.06 : x
  2. Step 2: Convert to fraction form
    13,637.22/18,817.02 = 7,668.06/x
  3. Step 3: Cross multiply
    13,637.22x = 18,817.02 × 7,668.06
  4. Step 4: Simplify right side
    13,637.22x = 144,290,038.38
  5. Step 5: Solve for x
    x = 144,290,038.38/13,637.22
  6. Step 6: Final answer
    x = 10,580.61

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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.