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Finding the Fourth Proportional to 12,636.84, 17,438.98 and 6,971.80

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Solution

The fourth proportional to 12,636.84, 17,438.98 and 6,971.80 is: 9,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.84 : 17,438.98 = 6,971.80 : x
  2. Step 2: Convert to fraction form
    12,636.84/17,438.98 = 6,971.80/x
  3. Step 3: Cross multiply
    12,636.84x = 17,438.98 × 6,971.80
  4. Step 4: Simplify right side
    12,636.84x = 121,581,080.76
  5. Step 5: Solve for x
    x = 121,581,080.76/12,636.84
  6. Step 6: Final answer
    x = 9,621.16

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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.