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Finding the Fourth Proportional to 15,808.34, 23,709.28 and 5,809.65

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Solution

The fourth proportional to 15,808.34, 23,709.28 and 5,809.65 is: 8,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,808.34 : 23,709.28 = 5,809.65 : x
  2. Step 2: Convert to fraction form
    15,808.34/23,709.28 = 5,809.65/x
  3. Step 3: Cross multiply
    15,808.34x = 23,709.28 × 5,809.65
  4. Step 4: Simplify right side
    15,808.34x = 137,742,609.03
  5. Step 5: Solve for x
    x = 137,742,609.03/15,808.34
  6. Step 6: Final answer
    x = 8,713.29

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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.