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Finding the Fourth Proportional to 12,651.01, 17,457.94 and 6,985.64

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Solution

The fourth proportional to 12,651.01, 17,457.94 and 6,985.64 is: 9,639.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.01 : 17,457.94 = 6,985.64 : x
  2. Step 2: Convert to fraction form
    12,651.01/17,457.94 = 6,985.64/x
  3. Step 3: Cross multiply
    12,651.01x = 17,457.94 × 6,985.64
  4. Step 4: Simplify right side
    12,651.01x = 121,954,761.76
  5. Step 5: Solve for x
    x = 121,954,761.76/12,651.01
  6. Step 6: Final answer
    x = 9,639.92

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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.