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Finding the Fourth Proportional to 12,686.57, 17,507.04 and 7,021.22

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Solution

The fourth proportional to 12,686.57, 17,507.04 and 7,021.22 is: 9,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.57 : 17,507.04 = 7,021.22 : x
  2. Step 2: Convert to fraction form
    12,686.57/17,507.04 = 7,021.22/x
  3. Step 3: Cross multiply
    12,686.57x = 17,507.04 × 7,021.22
  4. Step 4: Simplify right side
    12,686.57x = 122,920,779.39
  5. Step 5: Solve for x
    x = 122,920,779.39/12,686.57
  6. Step 6: Final answer
    x = 9,689.05

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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.