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Finding the Fourth Proportional to 12,907.50, 17,812.35 and 7,318.50

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Solution

The fourth proportional to 12,907.50, 17,812.35 and 7,318.50 is: 10,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.50 : 17,812.35 = 7,318.50 : x
  2. Step 2: Convert to fraction form
    12,907.50/17,812.35 = 7,318.50/x
  3. Step 3: Cross multiply
    12,907.50x = 17,812.35 × 7,318.50
  4. Step 4: Simplify right side
    12,907.50x = 130,359,683.48
  5. Step 5: Solve for x
    x = 130,359,683.48/12,907.50
  6. Step 6: Final answer
    x = 10,099.53

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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.