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Finding the Fourth Proportional to 12,017.30, 16,591.59 and 7,774.88

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Solution

The fourth proportional to 12,017.30, 16,591.59 and 7,774.88 is: 10,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.30 : 16,591.59 = 7,774.88 : x
  2. Step 2: Convert to fraction form
    12,017.30/16,591.59 = 7,774.88/x
  3. Step 3: Cross multiply
    12,017.30x = 16,591.59 × 7,774.88
  4. Step 4: Simplify right side
    12,017.30x = 128,997,538.30
  5. Step 5: Solve for x
    x = 128,997,538.30/12,017.30
  6. Step 6: Final answer
    x = 10,734.32

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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.