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Finding the Fourth Proportional to 14,496.48, 21,740.40 and 6,176.40

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Solution

The fourth proportional to 14,496.48, 21,740.40 and 6,176.40 is: 9,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.48 : 21,740.40 = 6,176.40 : x
  2. Step 2: Convert to fraction form
    14,496.48/21,740.40 = 6,176.40/x
  3. Step 3: Cross multiply
    14,496.48x = 21,740.40 × 6,176.40
  4. Step 4: Simplify right side
    14,496.48x = 134,277,406.56
  5. Step 5: Solve for x
    x = 134,277,406.56/14,496.48
  6. Step 6: Final answer
    x = 9,262.76

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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.