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Finding the Fourth Proportional to 15,609.89, 23,386.48 and 9,022.16

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Solution

The fourth proportional to 15,609.89, 23,386.48 and 9,022.16 is: 13,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,609.89 : 23,386.48 = 9,022.16 : x
  2. Step 2: Convert to fraction form
    15,609.89/23,386.48 = 9,022.16/x
  3. Step 3: Cross multiply
    15,609.89x = 23,386.48 × 9,022.16
  4. Step 4: Simplify right side
    15,609.89x = 210,996,564.40
  5. Step 5: Solve for x
    x = 210,996,564.40/15,609.89
  6. Step 6: Final answer
    x = 13,516.85

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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.