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Finding the Fourth Proportional to 12,577.94, 17,357.55 and 6,988.94

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Solution

The fourth proportional to 12,577.94, 17,357.55 and 6,988.94 is: 9,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.94 : 17,357.55 = 6,988.94 : x
  2. Step 2: Convert to fraction form
    12,577.94/17,357.55 = 6,988.94/x
  3. Step 3: Cross multiply
    12,577.94x = 17,357.55 × 6,988.94
  4. Step 4: Simplify right side
    12,577.94x = 121,310,875.50
  5. Step 5: Solve for x
    x = 121,310,875.50/12,577.94
  6. Step 6: Final answer
    x = 9,644.73

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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.