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Finding the Fourth Proportional to 12,995.28, 19,492.65 and 5,202

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Solution

The fourth proportional to 12,995.28, 19,492.65 and 5,202 is: 7,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,995.28 : 19,492.65 = 5,202 : x
  2. Step 2: Convert to fraction form
    12,995.28/19,492.65 = 5,202/x
  3. Step 3: Cross multiply
    12,995.28x = 19,492.65 × 5,202
  4. Step 4: Simplify right side
    12,995.28x = 101,400,765.30
  5. Step 5: Solve for x
    x = 101,400,765.30/12,995.28
  6. Step 6: Final answer
    x = 7,802.89

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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.