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Finding the Fourth Proportional to 14,497.80, 21,754.80 and 6,176.40

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Solution

The fourth proportional to 14,497.80, 21,754.80 and 6,176.40 is: 9,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.80 : 21,754.80 = 6,176.40 : x
  2. Step 2: Convert to fraction form
    14,497.80/21,754.80 = 6,176.40/x
  3. Step 3: Cross multiply
    14,497.80x = 21,754.80 × 6,176.40
  4. Step 4: Simplify right side
    14,497.80x = 134,366,346.72
  5. Step 5: Solve for x
    x = 134,366,346.72/14,497.80
  6. Step 6: Final answer
    x = 9,268.05

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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.