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Finding the Fourth Proportional to 13,085.76, 18,066.58 and 10,096.04

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Solution

The fourth proportional to 13,085.76, 18,066.58 and 10,096.04 is: 13,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.76 : 18,066.58 = 10,096.04 : x
  2. Step 2: Convert to fraction form
    13,085.76/18,066.58 = 10,096.04/x
  3. Step 3: Cross multiply
    13,085.76x = 18,066.58 × 10,096.04
  4. Step 4: Simplify right side
    13,085.76x = 182,400,914.34
  5. Step 5: Solve for x
    x = 182,400,914.34/13,085.76
  6. Step 6: Final answer
    x = 13,938.89

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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.