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Finding the Fourth Proportional to 13,475.40, 18,597.42 and 7,508.04

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Solution

The fourth proportional to 13,475.40, 18,597.42 and 7,508.04 is: 10,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.40 : 18,597.42 = 7,508.04 : x
  2. Step 2: Convert to fraction form
    13,475.40/18,597.42 = 7,508.04/x
  3. Step 3: Cross multiply
    13,475.40x = 18,597.42 × 7,508.04
  4. Step 4: Simplify right side
    13,475.40x = 139,630,173.26
  5. Step 5: Solve for x
    x = 139,630,173.26/13,475.40
  6. Step 6: Final answer
    x = 10,361.86

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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.