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Finding the Fourth Proportional to 12,995.64, 19,500.75 and 6,428.16

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Solution

The fourth proportional to 12,995.64, 19,500.75 and 6,428.16 is: 9,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,995.64 : 19,500.75 = 6,428.16 : x
  2. Step 2: Convert to fraction form
    12,995.64/19,500.75 = 6,428.16/x
  3. Step 3: Cross multiply
    12,995.64x = 19,500.75 × 6,428.16
  4. Step 4: Simplify right side
    12,995.64x = 125,353,941.12
  5. Step 5: Solve for x
    x = 125,353,941.12/12,995.64
  6. Step 6: Final answer
    x = 9,645.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.