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Finding the Fourth Proportional to 12,727.94, 17,564.65 and 6,985.34

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Solution

The fourth proportional to 12,727.94, 17,564.65 and 6,985.34 is: 9,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.94 : 17,564.65 = 6,985.34 : x
  2. Step 2: Convert to fraction form
    12,727.94/17,564.65 = 6,985.34/x
  3. Step 3: Cross multiply
    12,727.94x = 17,564.65 × 6,985.34
  4. Step 4: Simplify right side
    12,727.94x = 122,695,012.81
  5. Step 5: Solve for x
    x = 122,695,012.81/12,727.94
  6. Step 6: Final answer
    x = 9,639.82

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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.