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Finding the Fourth Proportional to 12,929.67, 17,842.93 and 7,340.67

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Solution

The fourth proportional to 12,929.67, 17,842.93 and 7,340.67 is: 10,130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,929.67 : 17,842.93 = 7,340.67 : x
  2. Step 2: Convert to fraction form
    12,929.67/17,842.93 = 7,340.67/x
  3. Step 3: Cross multiply
    12,929.67x = 17,842.93 × 7,340.67
  4. Step 4: Simplify right side
    12,929.67x = 130,979,060.96
  5. Step 5: Solve for x
    x = 130,979,060.96/12,929.67
  6. Step 6: Final answer
    x = 10,130.12

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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.