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Finding the Fourth Proportional to 12,765.69, 19,128.76 and 6,516.94

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Solution

The fourth proportional to 12,765.69, 19,128.76 and 6,516.94 is: 9,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.69 : 19,128.76 = 6,516.94 : x
  2. Step 2: Convert to fraction form
    12,765.69/19,128.76 = 6,516.94/x
  3. Step 3: Cross multiply
    12,765.69x = 19,128.76 × 6,516.94
  4. Step 4: Simplify right side
    12,765.69x = 124,660,981.19
  5. Step 5: Solve for x
    x = 124,660,981.19/12,765.69
  6. Step 6: Final answer
    x = 9,765.31

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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.