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Finding the Fourth Proportional to 12,655.98, 17,461.04 and 8,185.40

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Solution

The fourth proportional to 12,655.98, 17,461.04 and 8,185.40 is: 11,293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.98 : 17,461.04 = 8,185.40 : x
  2. Step 2: Convert to fraction form
    12,655.98/17,461.04 = 8,185.40/x
  3. Step 3: Cross multiply
    12,655.98x = 17,461.04 × 8,185.40
  4. Step 4: Simplify right side
    12,655.98x = 142,925,468.58
  5. Step 5: Solve for x
    x = 142,925,468.58/12,655.98
  6. Step 6: Final answer
    x = 11,293.12

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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.