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Finding the Fourth Proportional to 35,512.64, 53,271.60 and 9,217.52

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Solution

The fourth proportional to 35,512.64, 53,271.60 and 9,217.52 is: 13,826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,512.64 : 53,271.60 = 9,217.52 : x
  2. Step 2: Convert to fraction form
    35,512.64/53,271.60 = 9,217.52/x
  3. Step 3: Cross multiply
    35,512.64x = 53,271.60 × 9,217.52
  4. Step 4: Simplify right side
    35,512.64x = 491,032,038.43
  5. Step 5: Solve for x
    x = 491,032,038.43/35,512.64
  6. Step 6: Final answer
    x = 13,826.97

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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.