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Finding the Fourth Proportional to 35,886.64, 53,829.48 and 12,513

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Solution

The fourth proportional to 35,886.64, 53,829.48 and 12,513 is: 18,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,886.64 : 53,829.48 = 12,513 : x
  2. Step 2: Convert to fraction form
    35,886.64/53,829.48 = 12,513/x
  3. Step 3: Cross multiply
    35,886.64x = 53,829.48 × 12,513
  4. Step 4: Simplify right side
    35,886.64x = 673,568,283.24
  5. Step 5: Solve for x
    x = 673,568,283.24/35,886.64
  6. Step 6: Final answer
    x = 18,769.33

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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.