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Finding the Fourth Proportional to 23,672.64, 35,513.82 and 7,031.19

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Solution

The fourth proportional to 23,672.64, 35,513.82 and 7,031.19 is: 10,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672.64 : 35,513.82 = 7,031.19 : x
  2. Step 2: Convert to fraction form
    23,672.64/35,513.82 = 7,031.19/x
  3. Step 3: Cross multiply
    23,672.64x = 35,513.82 × 7,031.19
  4. Step 4: Simplify right side
    23,672.64x = 249,704,416.05
  5. Step 5: Solve for x
    x = 249,704,416.05/23,672.64
  6. Step 6: Final answer
    x = 10,548.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.