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Finding the Fourth Proportional to 13,157.85, 18,157.83 and 7,492.31

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Solution

The fourth proportional to 13,157.85, 18,157.83 and 7,492.31 is: 10,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.85 : 18,157.83 = 7,492.31 : x
  2. Step 2: Convert to fraction form
    13,157.85/18,157.83 = 7,492.31/x
  3. Step 3: Cross multiply
    13,157.85x = 18,157.83 × 7,492.31
  4. Step 4: Simplify right side
    13,157.85x = 136,044,091.29
  5. Step 5: Solve for x
    x = 136,044,091.29/13,157.85
  6. Step 6: Final answer
    x = 10,339.39

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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.