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Finding the Fourth Proportional to 23,157.34, 34,744.32 and 9,109.58

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Solution

The fourth proportional to 23,157.34, 34,744.32 and 9,109.58 is: 13,667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.34 : 34,744.32 = 9,109.58 : x
  2. Step 2: Convert to fraction form
    23,157.34/34,744.32 = 9,109.58/x
  3. Step 3: Cross multiply
    23,157.34x = 34,744.32 × 9,109.58
  4. Step 4: Simplify right side
    23,157.34x = 316,506,162.59
  5. Step 5: Solve for x
    x = 316,506,162.59/23,157.34
  6. Step 6: Final answer
    x = 13,667.64

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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.