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Finding the Fourth Proportional to 14,507.42, 21,740.78 and 6,176.16

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Solution

The fourth proportional to 14,507.42, 21,740.78 and 6,176.16 is: 9,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.42 : 21,740.78 = 6,176.16 : x
  2. Step 2: Convert to fraction form
    14,507.42/21,740.78 = 6,176.16/x
  3. Step 3: Cross multiply
    14,507.42x = 21,740.78 × 6,176.16
  4. Step 4: Simplify right side
    14,507.42x = 134,274,535.80
  5. Step 5: Solve for x
    x = 134,274,535.80/14,507.42
  6. Step 6: Final answer
    x = 9,255.58

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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.