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Finding the Fourth Proportional to 12,686.58, 17,501.64 and 8,211.77

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Solution

The fourth proportional to 12,686.58, 17,501.64 and 8,211.77 is: 11,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.58 : 17,501.64 = 8,211.77 : x
  2. Step 2: Convert to fraction form
    12,686.58/17,501.64 = 8,211.77/x
  3. Step 3: Cross multiply
    12,686.58x = 17,501.64 × 8,211.77
  4. Step 4: Simplify right side
    12,686.58x = 143,719,486.06
  5. Step 5: Solve for x
    x = 143,719,486.06/12,686.58
  6. Step 6: Final answer
    x = 11,328.46

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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.