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Finding the Fourth Proportional to 12,732.04, 19,097.76 and 7,500.23

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Solution

The fourth proportional to 12,732.04, 19,097.76 and 7,500.23 is: 11,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.04 : 19,097.76 = 7,500.23 : x
  2. Step 2: Convert to fraction form
    12,732.04/19,097.76 = 7,500.23/x
  3. Step 3: Cross multiply
    12,732.04x = 19,097.76 × 7,500.23
  4. Step 4: Simplify right side
    12,732.04x = 143,237,592.48
  5. Step 5: Solve for x
    x = 143,237,592.48/12,732.04
  6. Step 6: Final answer
    x = 11,250.17

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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.