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Finding the Fourth Proportional to 14,482.64, 21,724.28 and 12,306.64

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Solution

The fourth proportional to 14,482.64, 21,724.28 and 12,306.64 is: 18,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,482.64 : 21,724.28 = 12,306.64 : x
  2. Step 2: Convert to fraction form
    14,482.64/21,724.28 = 12,306.64/x
  3. Step 3: Cross multiply
    14,482.64x = 21,724.28 × 12,306.64
  4. Step 4: Simplify right side
    14,482.64x = 267,352,893.22
  5. Step 5: Solve for x
    x = 267,352,893.22/14,482.64
  6. Step 6: Final answer
    x = 18,460.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.