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Finding the Fourth Proportional to 13,468.96, 18,585.84 and 7,500.40

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Solution

The fourth proportional to 13,468.96, 18,585.84 and 7,500.40 is: 10,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.96 : 18,585.84 = 7,500.40 : x
  2. Step 2: Convert to fraction form
    13,468.96/18,585.84 = 7,500.40/x
  3. Step 3: Cross multiply
    13,468.96x = 18,585.84 × 7,500.40
  4. Step 4: Simplify right side
    13,468.96x = 139,401,234.34
  5. Step 5: Solve for x
    x = 139,401,234.34/13,468.96
  6. Step 6: Final answer
    x = 10,349.81

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