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Finding the Fourth Proportional to 12,804.55, 17,686.16 and 9,856.15

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Solution

The fourth proportional to 12,804.55, 17,686.16 and 9,856.15 is: 13,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.55 : 17,686.16 = 9,856.15 : x
  2. Step 2: Convert to fraction form
    12,804.55/17,686.16 = 9,856.15/x
  3. Step 3: Cross multiply
    12,804.55x = 17,686.16 × 9,856.15
  4. Step 4: Simplify right side
    12,804.55x = 174,317,445.88
  5. Step 5: Solve for x
    x = 174,317,445.88/12,804.55
  6. Step 6: Final answer
    x = 13,613.71

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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.