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Finding the Fourth Proportional to 15,407.41, 23,091.93 and 7,078.57

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Solution

The fourth proportional to 15,407.41, 23,091.93 and 7,078.57 is: 10,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407.41 : 23,091.93 = 7,078.57 : x
  2. Step 2: Convert to fraction form
    15,407.41/23,091.93 = 7,078.57/x
  3. Step 3: Cross multiply
    15,407.41x = 23,091.93 × 7,078.57
  4. Step 4: Simplify right side
    15,407.41x = 163,457,842.94
  5. Step 5: Solve for x
    x = 163,457,842.94/15,407.41
  6. Step 6: Final answer
    x = 10,609.04

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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.