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Finding the Fourth Proportional to 35,214.30, 52,826.04 and 11,513.57

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Solution

The fourth proportional to 35,214.30, 52,826.04 and 11,513.57 is: 17,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,214.30 : 52,826.04 = 11,513.57 : x
  2. Step 2: Convert to fraction form
    35,214.30/52,826.04 = 11,513.57/x
  3. Step 3: Cross multiply
    35,214.30x = 52,826.04 × 11,513.57
  4. Step 4: Simplify right side
    35,214.30x = 608,216,045.23
  5. Step 5: Solve for x
    x = 608,216,045.23/35,214.30
  6. Step 6: Final answer
    x = 17,271.85

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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.