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Finding the Fourth Proportional to 12,509.07, 18,750.10 and 8,129.67

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Solution

The fourth proportional to 12,509.07, 18,750.10 and 8,129.67 is: 12,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.07 : 18,750.10 = 8,129.67 : x
  2. Step 2: Convert to fraction form
    12,509.07/18,750.10 = 8,129.67/x
  3. Step 3: Cross multiply
    12,509.07x = 18,750.10 × 8,129.67
  4. Step 4: Simplify right side
    12,509.07x = 152,432,125.47
  5. Step 5: Solve for x
    x = 152,432,125.47/12,509.07
  6. Step 6: Final answer
    x = 12,185.73

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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.