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Finding the Fourth Proportional to 12,928.10, 17,842.48 and 7,623.42

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Solution

The fourth proportional to 12,928.10, 17,842.48 and 7,623.42 is: 10,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,928.10 : 17,842.48 = 7,623.42 : x
  2. Step 2: Convert to fraction form
    12,928.10/17,842.48 = 7,623.42/x
  3. Step 3: Cross multiply
    12,928.10x = 17,842.48 × 7,623.42
  4. Step 4: Simplify right side
    12,928.10x = 136,020,718.88
  5. Step 5: Solve for x
    x = 136,020,718.88/12,928.10
  6. Step 6: Final answer
    x = 10,521.32

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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.