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Finding the Fourth Proportional to 18,507, 25,527.66 and 12,467.64

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Solution

The fourth proportional to 18,507, 25,527.66 and 12,467.64 is: 17,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,507 : 25,527.66 = 12,467.64 : x
  2. Step 2: Convert to fraction form
    18,507/25,527.66 = 12,467.64/x
  3. Step 3: Cross multiply
    18,507x = 25,527.66 × 12,467.64
  4. Step 4: Simplify right side
    18,507x = 318,269,674.92
  5. Step 5: Solve for x
    x = 318,269,674.92/18,507
  6. Step 6: Final answer
    x = 17,197.26

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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.