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Finding the Fourth Proportional to 12,653.76, 17,461.88 and 6,988.98

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Solution

The fourth proportional to 12,653.76, 17,461.88 and 6,988.98 is: 9,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.76 : 17,461.88 = 6,988.98 : x
  2. Step 2: Convert to fraction form
    12,653.76/17,461.88 = 6,988.98/x
  3. Step 3: Cross multiply
    12,653.76x = 17,461.88 × 6,988.98
  4. Step 4: Simplify right side
    12,653.76x = 122,040,730.08
  5. Step 5: Solve for x
    x = 122,040,730.08/12,653.76
  6. Step 6: Final answer
    x = 9,644.62

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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.