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Finding the Fourth Proportional to 15,401.67, 23,098.22 and 6,513.93

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Solution

The fourth proportional to 15,401.67, 23,098.22 and 6,513.93 is: 9,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,401.67 : 23,098.22 = 6,513.93 : x
  2. Step 2: Convert to fraction form
    15,401.67/23,098.22 = 6,513.93/x
  3. Step 3: Cross multiply
    15,401.67x = 23,098.22 × 6,513.93
  4. Step 4: Simplify right side
    15,401.67x = 150,460,155.63
  5. Step 5: Solve for x
    x = 150,460,155.63/15,401.67
  6. Step 6: Final answer
    x = 9,769.08

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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.